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Finding the Fourth Proportional to 750.71, 1,036.17 and 470.76

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Solution

The fourth proportional to 750.71, 1,036.17 and 470.76 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.71 : 1,036.17 = 470.76 : x
  2. Step 2: Convert to fraction form
    750.71/1,036.17 = 470.76/x
  3. Step 3: Cross multiply
    750.71x = 1,036.17 × 470.76
  4. Step 4: Simplify right side
    750.71x = 487,787.39
  5. Step 5: Solve for x
    x = 487,787.39/750.71
  6. Step 6: Final answer
    x = 649.77

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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.