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Finding the Fourth Proportional to 652.13, 900.02 and 431.54

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Solution

The fourth proportional to 652.13, 900.02 and 431.54 is: 595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.13 : 900.02 = 431.54 : x
  2. Step 2: Convert to fraction form
    652.13/900.02 = 431.54/x
  3. Step 3: Cross multiply
    652.13x = 900.02 × 431.54
  4. Step 4: Simplify right side
    652.13x = 388,387.97
  5. Step 5: Solve for x
    x = 388,387.97/652.13
  6. Step 6: Final answer
    x = 595.57

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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.