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Finding the Fourth Proportional to 587.30, 876.74 and 483.42

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Solution

The fourth proportional to 587.30, 876.74 and 483.42 is: 721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.30 : 876.74 = 483.42 : x
  2. Step 2: Convert to fraction form
    587.30/876.74 = 483.42/x
  3. Step 3: Cross multiply
    587.30x = 876.74 × 483.42
  4. Step 4: Simplify right side
    587.30x = 423,830.27
  5. Step 5: Solve for x
    x = 423,830.27/587.30
  6. Step 6: Final answer
    x = 721.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.