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Finding the Fourth Proportional to 963.69, 1,445.55 and 347.41

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Solution

The fourth proportional to 963.69, 1,445.55 and 347.41 is: 521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.69 : 1,445.55 = 347.41 : x
  2. Step 2: Convert to fraction form
    963.69/1,445.55 = 347.41/x
  3. Step 3: Cross multiply
    963.69x = 1,445.55 × 347.41
  4. Step 4: Simplify right side
    963.69x = 502,199.03
  5. Step 5: Solve for x
    x = 502,199.03/963.69
  6. Step 6: Final answer
    x = 521.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.