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Finding the Fourth Proportional to 824.76, 1,138.02 and 715.08

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Solution

The fourth proportional to 824.76, 1,138.02 and 715.08 is: 986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.76 : 1,138.02 = 715.08 : x
  2. Step 2: Convert to fraction form
    824.76/1,138.02 = 715.08/x
  3. Step 3: Cross multiply
    824.76x = 1,138.02 × 715.08
  4. Step 4: Simplify right side
    824.76x = 813,775.34
  5. Step 5: Solve for x
    x = 813,775.34/824.76
  6. Step 6: Final answer
    x = 986.68

Related Problems

Find fourth proportional to 412.38, 569.01 and 357.54
Half scale
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Double scale
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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.