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Finding the Fourth Proportional to 710.97, 981.32 and 431.25

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Solution

The fourth proportional to 710.97, 981.32 and 431.25 is: 595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.97 : 981.32 = 431.25 : x
  2. Step 2: Convert to fraction form
    710.97/981.32 = 431.25/x
  3. Step 3: Cross multiply
    710.97x = 981.32 × 431.25
  4. Step 4: Simplify right side
    710.97x = 423,192.09
  5. Step 5: Solve for x
    x = 423,192.09/710.97
  6. Step 6: Final answer
    x = 595.23

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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.