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Finding the Fourth Proportional to 583.61, 870.00 and 539.87

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Solution

The fourth proportional to 583.61, 870.00 and 539.87 is: 804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.61 : 870.00 = 539.87 : x
  2. Step 2: Convert to fraction form
    583.61/870.00 = 539.87/x
  3. Step 3: Cross multiply
    583.61x = 870.00 × 539.87
  4. Step 4: Simplify right side
    583.61x = 469,682.04
  5. Step 5: Solve for x
    x = 469,682.04/583.61
  6. Step 6: Final answer
    x = 804.79

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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.