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Finding the Fourth Proportional to 711.84, 1,061.78 and 646.22

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Solution

The fourth proportional to 711.84, 1,061.78 and 646.22 is: 963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.84 : 1,061.78 = 646.22 : x
  2. Step 2: Convert to fraction form
    711.84/1,061.78 = 646.22/x
  3. Step 3: Cross multiply
    711.84x = 1,061.78 × 646.22
  4. Step 4: Simplify right side
    711.84x = 686,143.47
  5. Step 5: Solve for x
    x = 686,143.47/711.84
  6. Step 6: Final answer
    x = 963.90

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Double scale
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1.5x scale

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.