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Finding the Fourth Proportional to 630.52, 870.12 and 354.52

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Solution

The fourth proportional to 630.52, 870.12 and 354.52 is: 489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.52 : 870.12 = 354.52 : x
  2. Step 2: Convert to fraction form
    630.52/870.12 = 354.52/x
  3. Step 3: Cross multiply
    630.52x = 870.12 × 354.52
  4. Step 4: Simplify right side
    630.52x = 308,474.94
  5. Step 5: Solve for x
    x = 308,474.94/630.52
  6. Step 6: Final answer
    x = 489.24

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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.