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Finding the Fourth Proportional to 868.53, 1,303.11 and 457.68

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Solution

The fourth proportional to 868.53, 1,303.11 and 457.68 is: 686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.53 : 1,303.11 = 457.68 : x
  2. Step 2: Convert to fraction form
    868.53/1,303.11 = 457.68/x
  3. Step 3: Cross multiply
    868.53x = 1,303.11 × 457.68
  4. Step 4: Simplify right side
    868.53x = 596,407.38
  5. Step 5: Solve for x
    x = 596,407.38/868.53
  6. Step 6: Final answer
    x = 686.69

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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.