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Finding the Fourth Proportional to 583.50, 870.97 and 514.30

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Solution

The fourth proportional to 583.50, 870.97 and 514.30 is: 767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 870.97 = 514.30 : x
  2. Step 2: Convert to fraction form
    583.50/870.97 = 514.30/x
  3. Step 3: Cross multiply
    583.50x = 870.97 × 514.30
  4. Step 4: Simplify right side
    583.50x = 447,941.16
  5. Step 5: Solve for x
    x = 447,941.16/583.50
  6. Step 6: Final answer
    x = 767.69

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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.