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Finding the Fourth Proportional to 874.23, 1,312.02 and 457.35

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Solution

The fourth proportional to 874.23, 1,312.02 and 457.35 is: 686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.23 : 1,312.02 = 457.35 : x
  2. Step 2: Convert to fraction form
    874.23/1,312.02 = 457.35/x
  3. Step 3: Cross multiply
    874.23x = 1,312.02 × 457.35
  4. Step 4: Simplify right side
    874.23x = 600,052.35
  5. Step 5: Solve for x
    x = 600,052.35/874.23
  6. Step 6: Final answer
    x = 686.38

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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.