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Finding the Fourth Proportional to 597.87, 824.75 and 387.77

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Solution

The fourth proportional to 597.87, 824.75 and 387.77 is: 534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.87 : 824.75 = 387.77 : x
  2. Step 2: Convert to fraction form
    597.87/824.75 = 387.77/x
  3. Step 3: Cross multiply
    597.87x = 824.75 × 387.77
  4. Step 4: Simplify right side
    597.87x = 319,807.24
  5. Step 5: Solve for x
    x = 319,807.24/597.87
  6. Step 6: Final answer
    x = 534.91

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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.