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Finding the Fourth Proportional to 583.12, 870.14 and 531.37

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Solution

The fourth proportional to 583.12, 870.14 and 531.37 is: 792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.12 : 870.14 = 531.37 : x
  2. Step 2: Convert to fraction form
    583.12/870.14 = 531.37/x
  3. Step 3: Cross multiply
    583.12x = 870.14 × 531.37
  4. Step 4: Simplify right side
    583.12x = 462,366.29
  5. Step 5: Solve for x
    x = 462,366.29/583.12
  6. Step 6: Final answer
    x = 792.92

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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.