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Finding the Fourth Proportional to 585.72, 803.16 and 565.11

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Solution

The fourth proportional to 585.72, 803.16 and 565.11 is: 774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.72 : 803.16 = 565.11 : x
  2. Step 2: Convert to fraction form
    585.72/803.16 = 565.11/x
  3. Step 3: Cross multiply
    585.72x = 803.16 × 565.11
  4. Step 4: Simplify right side
    585.72x = 453,873.75
  5. Step 5: Solve for x
    x = 453,873.75/585.72
  6. Step 6: Final answer
    x = 774.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.