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Finding the Fourth Proportional to 710.93, 981.17 and 431.16

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Solution

The fourth proportional to 710.93, 981.17 and 431.16 is: 595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.93 : 981.17 = 431.16 : x
  2. Step 2: Convert to fraction form
    710.93/981.17 = 431.16/x
  3. Step 3: Cross multiply
    710.93x = 981.17 × 431.16
  4. Step 4: Simplify right side
    710.93x = 423,041.26
  5. Step 5: Solve for x
    x = 423,041.26/710.93
  6. Step 6: Final answer
    x = 595.05

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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.