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Finding the Fourth Proportional to 585.40, 876.30 and 481

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Solution

The fourth proportional to 585.40, 876.30 and 481 is: 720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.40 : 876.30 = 481 : x
  2. Step 2: Convert to fraction form
    585.40/876.30 = 481/x
  3. Step 3: Cross multiply
    585.40x = 876.30 × 481
  4. Step 4: Simplify right side
    585.40x = 421,500.30
  5. Step 5: Solve for x
    x = 421,500.30/585.40
  6. Step 6: Final answer
    x = 720.02

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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.