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Finding the Fourth Proportional to 868.16, 1,300.62 and 624.08

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Solution

The fourth proportional to 868.16, 1,300.62 and 624.08 is: 934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.16 : 1,300.62 = 624.08 : x
  2. Step 2: Convert to fraction form
    868.16/1,300.62 = 624.08/x
  3. Step 3: Cross multiply
    868.16x = 1,300.62 × 624.08
  4. Step 4: Simplify right side
    868.16x = 811,690.93
  5. Step 5: Solve for x
    x = 811,690.93/868.16
  6. Step 6: Final answer
    x = 934.96

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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.