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Finding the Fourth Proportional to 630.69, 870.35 and 354.69

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Solution

The fourth proportional to 630.69, 870.35 and 354.69 is: 489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.69 : 870.35 = 354.69 : x
  2. Step 2: Convert to fraction form
    630.69/870.35 = 354.69/x
  3. Step 3: Cross multiply
    630.69x = 870.35 × 354.69
  4. Step 4: Simplify right side
    630.69x = 308,704.44
  5. Step 5: Solve for x
    x = 308,704.44/630.69
  6. Step 6: Final answer
    x = 489.47

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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.