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Finding the Fourth Proportional to 630.13, 870.49 and 465.25

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Solution

The fourth proportional to 630.13, 870.49 and 465.25 is: 642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.13 : 870.49 = 465.25 : x
  2. Step 2: Convert to fraction form
    630.13/870.49 = 465.25/x
  3. Step 3: Cross multiply
    630.13x = 870.49 × 465.25
  4. Step 4: Simplify right side
    630.13x = 404,995.47
  5. Step 5: Solve for x
    x = 404,995.47/630.13
  6. Step 6: Final answer
    x = 642.72

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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.