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Finding the Fourth Proportional to 652.54, 900.54 and 387.12

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Solution

The fourth proportional to 652.54, 900.54 and 387.12 is: 534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.54 : 900.54 = 387.12 : x
  2. Step 2: Convert to fraction form
    652.54/900.54 = 387.12/x
  3. Step 3: Cross multiply
    652.54x = 900.54 × 387.12
  4. Step 4: Simplify right side
    652.54x = 348,619.55
  5. Step 5: Solve for x
    x = 348,619.55/652.54
  6. Step 6: Final answer
    x = 534.25

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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.