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Finding the Fourth Proportional to 860.59, 1,290.48 and 588.30

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Solution

The fourth proportional to 860.59, 1,290.48 and 588.30 is: 882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.59 : 1,290.48 = 588.30 : x
  2. Step 2: Convert to fraction form
    860.59/1,290.48 = 588.30/x
  3. Step 3: Cross multiply
    860.59x = 1,290.48 × 588.30
  4. Step 4: Simplify right side
    860.59x = 759,189.38
  5. Step 5: Solve for x
    x = 759,189.38/860.59
  6. Step 6: Final answer
    x = 882.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.