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Finding the Fourth Proportional to 652.95, 901.17 and 391.01

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Solution

The fourth proportional to 652.95, 901.17 and 391.01 is: 539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.95 : 901.17 = 391.01 : x
  2. Step 2: Convert to fraction form
    652.95/901.17 = 391.01/x
  3. Step 3: Cross multiply
    652.95x = 901.17 × 391.01
  4. Step 4: Simplify right side
    652.95x = 352,366.48
  5. Step 5: Solve for x
    x = 352,366.48/652.95
  6. Step 6: Final answer
    x = 539.65

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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.