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Finding the Fourth Proportional to 824.78, 1,138.30 and 470.76

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Solution

The fourth proportional to 824.78, 1,138.30 and 470.76 is: 649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.78 : 1,138.30 = 470.76 : x
  2. Step 2: Convert to fraction form
    824.78/1,138.30 = 470.76/x
  3. Step 3: Cross multiply
    824.78x = 1,138.30 × 470.76
  4. Step 4: Simplify right side
    824.78x = 535,866.11
  5. Step 5: Solve for x
    x = 535,866.11/824.78
  6. Step 6: Final answer
    x = 649.71

Related Problems

Find fourth proportional to 412.39, 569.15 and 235.38
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.