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Finding the Fourth Proportional to 973.62, 1,343.37 and 624.42

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Solution

The fourth proportional to 973.62, 1,343.37 and 624.42 is: 861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.62 : 1,343.37 = 624.42 : x
  2. Step 2: Convert to fraction form
    973.62/1,343.37 = 624.42/x
  3. Step 3: Cross multiply
    973.62x = 1,343.37 × 624.42
  4. Step 4: Simplify right side
    973.62x = 838,827.10
  5. Step 5: Solve for x
    x = 838,827.10/973.62
  6. Step 6: Final answer
    x = 861.55

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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.