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Finding the Fourth Proportional to 652.14, 901.13 and 465.31

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Solution

The fourth proportional to 652.14, 901.13 and 465.31 is: 642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.14 : 901.13 = 465.31 : x
  2. Step 2: Convert to fraction form
    652.14/901.13 = 465.31/x
  3. Step 3: Cross multiply
    652.14x = 901.13 × 465.31
  4. Step 4: Simplify right side
    652.14x = 419,300.22
  5. Step 5: Solve for x
    x = 419,300.22/652.14
  6. Step 6: Final answer
    x = 642.96

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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.