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Finding the Fourth Proportional to 649.71, 970.16 and 511.20

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Solution

The fourth proportional to 649.71, 970.16 and 511.20 is: 763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.71 : 970.16 = 511.20 : x
  2. Step 2: Convert to fraction form
    649.71/970.16 = 511.20/x
  3. Step 3: Cross multiply
    649.71x = 970.16 × 511.20
  4. Step 4: Simplify right side
    649.71x = 495,943.24
  5. Step 5: Solve for x
    x = 495,943.24/649.71
  6. Step 6: Final answer
    x = 763.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.