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Finding the Fourth Proportional to 652.52, 900.72 and 431.77

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Solution

The fourth proportional to 652.52, 900.72 and 431.77 is: 596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.52 : 900.72 = 431.77 : x
  2. Step 2: Convert to fraction form
    652.52/900.72 = 431.77/x
  3. Step 3: Cross multiply
    652.52x = 900.72 × 431.77
  4. Step 4: Simplify right side
    652.52x = 388,897.21
  5. Step 5: Solve for x
    x = 388,897.21/652.52
  6. Step 6: Final answer
    x = 596.00

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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.