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Finding the Fourth Proportional to 709.20, 977.04 and 598.32

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Solution

The fourth proportional to 709.20, 977.04 and 598.32 is: 824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.20 : 977.04 = 598.32 : x
  2. Step 2: Convert to fraction form
    709.20/977.04 = 598.32/x
  3. Step 3: Cross multiply
    709.20x = 977.04 × 598.32
  4. Step 4: Simplify right side
    709.20x = 584,582.57
  5. Step 5: Solve for x
    x = 584,582.57/709.20
  6. Step 6: Final answer
    x = 824.28

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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.