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Finding the Fourth Proportional to 710.89, 981.42 and 498.53

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Solution

The fourth proportional to 710.89, 981.42 and 498.53 is: 688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.89 : 981.42 = 498.53 : x
  2. Step 2: Convert to fraction form
    710.89/981.42 = 498.53/x
  3. Step 3: Cross multiply
    710.89x = 981.42 × 498.53
  4. Step 4: Simplify right side
    710.89x = 489,265.14
  5. Step 5: Solve for x
    x = 489,265.14/710.89
  6. Step 6: Final answer
    x = 688.24

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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.