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Finding the Fourth Proportional to 860.58, 1,291.95 and 588.42

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Solution

The fourth proportional to 860.58, 1,291.95 and 588.42 is: 883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.58 : 1,291.95 = 588.42 : x
  2. Step 2: Convert to fraction form
    860.58/1,291.95 = 588.42/x
  3. Step 3: Cross multiply
    860.58x = 1,291.95 × 588.42
  4. Step 4: Simplify right side
    860.58x = 760,209.22
  5. Step 5: Solve for x
    x = 760,209.22/860.58
  6. Step 6: Final answer
    x = 883.37

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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.