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Finding the Fourth Proportional to 868.40, 1,302.51 and 457.37

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Solution

The fourth proportional to 868.40, 1,302.51 and 457.37 is: 686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.40 : 1,302.51 = 457.37 : x
  2. Step 2: Convert to fraction form
    868.40/1,302.51 = 457.37/x
  3. Step 3: Cross multiply
    868.40x = 1,302.51 × 457.37
  4. Step 4: Simplify right side
    868.40x = 595,729.00
  5. Step 5: Solve for x
    x = 595,729.00/868.40
  6. Step 6: Final answer
    x = 686.01

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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.