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Finding the Fourth Proportional to 580.53, 870.64 and 397.87

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Solution

The fourth proportional to 580.53, 870.64 and 397.87 is: 596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.53 : 870.64 = 397.87 : x
  2. Step 2: Convert to fraction form
    580.53/870.64 = 397.87/x
  3. Step 3: Cross multiply
    580.53x = 870.64 × 397.87
  4. Step 4: Simplify right side
    580.53x = 346,401.54
  5. Step 5: Solve for x
    x = 346,401.54/580.53
  6. Step 6: Final answer
    x = 596.70

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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.