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Finding the Fourth Proportional to 710.84, 981.15 and 462.78

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Solution

The fourth proportional to 710.84, 981.15 and 462.78 is: 638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.84 : 981.15 = 462.78 : x
  2. Step 2: Convert to fraction form
    710.84/981.15 = 462.78/x
  3. Step 3: Cross multiply
    710.84x = 981.15 × 462.78
  4. Step 4: Simplify right side
    710.84x = 454,054.86
  5. Step 5: Solve for x
    x = 454,054.86/710.84
  6. Step 6: Final answer
    x = 638.76

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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.