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Finding the Fourth Proportional to 583.38, 870.75 and 534.66

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Solution

The fourth proportional to 583.38, 870.75 and 534.66 is: 798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.38 : 870.75 = 534.66 : x
  2. Step 2: Convert to fraction form
    583.38/870.75 = 534.66/x
  3. Step 3: Cross multiply
    583.38x = 870.75 × 534.66
  4. Step 4: Simplify right side
    583.38x = 465,555.20
  5. Step 5: Solve for x
    x = 465,555.20/583.38
  6. Step 6: Final answer
    x = 798.03

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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.