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Finding the Fourth Proportional to 579.90, 800.38 and 370.02

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Solution

The fourth proportional to 579.90, 800.38 and 370.02 is: 510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.90 : 800.38 = 370.02 : x
  2. Step 2: Convert to fraction form
    579.90/800.38 = 370.02/x
  3. Step 3: Cross multiply
    579.90x = 800.38 × 370.02
  4. Step 4: Simplify right side
    579.90x = 296,156.61
  5. Step 5: Solve for x
    x = 296,156.61/579.90
  6. Step 6: Final answer
    x = 510.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.