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Finding the Fourth Proportional to 918.90, 1,267.74 and 624.24

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Solution

The fourth proportional to 918.90, 1,267.74 and 624.24 is: 861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.90 : 1,267.74 = 624.24 : x
  2. Step 2: Convert to fraction form
    918.90/1,267.74 = 624.24/x
  3. Step 3: Cross multiply
    918.90x = 1,267.74 × 624.24
  4. Step 4: Simplify right side
    918.90x = 791,374.02
  5. Step 5: Solve for x
    x = 791,374.02/918.90
  6. Step 6: Final answer
    x = 861.22

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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.