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Finding the Fourth Proportional to 874.01, 1,206.14 and 524.63

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Solution

The fourth proportional to 874.01, 1,206.14 and 524.63 is: 723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.01 : 1,206.14 = 524.63 : x
  2. Step 2: Convert to fraction form
    874.01/1,206.14 = 524.63/x
  3. Step 3: Cross multiply
    874.01x = 1,206.14 × 524.63
  4. Step 4: Simplify right side
    874.01x = 632,768.57
  5. Step 5: Solve for x
    x = 632,768.57/874.01
  6. Step 6: Final answer
    x = 723.99

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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.