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Finding the Fourth Proportional to 597.65, 824.50 and 431.50

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Solution

The fourth proportional to 597.65, 824.50 and 431.50 is: 595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.65 : 824.50 = 431.50 : x
  2. Step 2: Convert to fraction form
    597.65/824.50 = 431.50/x
  3. Step 3: Cross multiply
    597.65x = 824.50 × 431.50
  4. Step 4: Simplify right side
    597.65x = 355,767.63
  5. Step 5: Solve for x
    x = 355,767.63/597.65
  6. Step 6: Final answer
    x = 595.28

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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.