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Finding the Fourth Proportional to 579.94, 801.10 and 430.88

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Solution

The fourth proportional to 579.94, 801.10 and 430.88 is: 595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.94 : 801.10 = 430.88 : x
  2. Step 2: Convert to fraction form
    579.94/801.10 = 430.88/x
  3. Step 3: Cross multiply
    579.94x = 801.10 × 430.88
  4. Step 4: Simplify right side
    579.94x = 345,177.97
  5. Step 5: Solve for x
    x = 345,177.97/579.94
  6. Step 6: Final answer
    x = 595.20

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1.5x scale

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.