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Finding the Fourth Proportional to 581.40, 871.02 and 495

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Solution

The fourth proportional to 581.40, 871.02 and 495 is: 741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.40 : 871.02 = 495 : x
  2. Step 2: Convert to fraction form
    581.40/871.02 = 495/x
  3. Step 3: Cross multiply
    581.40x = 871.02 × 495
  4. Step 4: Simplify right side
    581.40x = 431,154.90
  5. Step 5: Solve for x
    x = 431,154.90/581.40
  6. Step 6: Final answer
    x = 741.58

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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.