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Finding the Fourth Proportional to 630.73, 870.10 and 543.25

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Solution

The fourth proportional to 630.73, 870.10 and 543.25 is: 749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.73 : 870.10 = 543.25 : x
  2. Step 2: Convert to fraction form
    630.73/870.10 = 543.25/x
  3. Step 3: Cross multiply
    630.73x = 870.10 × 543.25
  4. Step 4: Simplify right side
    630.73x = 472,681.83
  5. Step 5: Solve for x
    x = 472,681.83/630.73
  6. Step 6: Final answer
    x = 749.42

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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.