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Finding the Fourth Proportional to 710.99, 981.21 and 431.24

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Solution

The fourth proportional to 710.99, 981.21 and 431.24 is: 595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.99 : 981.21 = 431.24 : x
  2. Step 2: Convert to fraction form
    710.99/981.21 = 431.24/x
  3. Step 3: Cross multiply
    710.99x = 981.21 × 431.24
  4. Step 4: Simplify right side
    710.99x = 423,133.71
  5. Step 5: Solve for x
    x = 423,133.71/710.99
  6. Step 6: Final answer
    x = 595.13

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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.