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Finding the Fourth Proportional to 824.95, 1,138.77 and 530.59

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Solution

The fourth proportional to 824.95, 1,138.77 and 530.59 is: 732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.95 : 1,138.77 = 530.59 : x
  2. Step 2: Convert to fraction form
    824.95/1,138.77 = 530.59/x
  3. Step 3: Cross multiply
    824.95x = 1,138.77 × 530.59
  4. Step 4: Simplify right side
    824.95x = 604,219.97
  5. Step 5: Solve for x
    x = 604,219.97/824.95
  6. Step 6: Final answer
    x = 732.43

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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.