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Finding the Fourth Proportional to 824.86, 1,138.76 and 656.49

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Solution

The fourth proportional to 824.86, 1,138.76 and 656.49 is: 906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.86 : 1,138.76 = 656.49 : x
  2. Step 2: Convert to fraction form
    824.86/1,138.76 = 656.49/x
  3. Step 3: Cross multiply
    824.86x = 1,138.76 × 656.49
  4. Step 4: Simplify right side
    824.86x = 747,584.55
  5. Step 5: Solve for x
    x = 747,584.55/824.86
  6. Step 6: Final answer
    x = 906.32

Related Problems

Find fourth proportional to 412.43, 569.38 and 328.25
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.