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Finding the Fourth Proportional to 583.00, 869.66 and 565.89

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Solution

The fourth proportional to 583.00, 869.66 and 565.89 is: 844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.00 : 869.66 = 565.89 : x
  2. Step 2: Convert to fraction form
    583.00/869.66 = 565.89/x
  3. Step 3: Cross multiply
    583.00x = 869.66 × 565.89
  4. Step 4: Simplify right side
    583.00x = 492,129.52
  5. Step 5: Solve for x
    x = 492,129.52/583.00
  6. Step 6: Final answer
    x = 844.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.