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Finding the Fourth Proportional to 579.65, 870.48 and 337.70

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Solution

The fourth proportional to 579.65, 870.48 and 337.70 is: 507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.65 : 870.48 = 337.70 : x
  2. Step 2: Convert to fraction form
    579.65/870.48 = 337.70/x
  3. Step 3: Cross multiply
    579.65x = 870.48 × 337.70
  4. Step 4: Simplify right side
    579.65x = 293,961.10
  5. Step 5: Solve for x
    x = 293,961.10/579.65
  6. Step 6: Final answer
    x = 507.14

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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.