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Finding the Fourth Proportional to 860.79, 1,187.99 and 524.71

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Solution

The fourth proportional to 860.79, 1,187.99 and 524.71 is: 724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.79 : 1,187.99 = 524.71 : x
  2. Step 2: Convert to fraction form
    860.79/1,187.99 = 524.71/x
  3. Step 3: Cross multiply
    860.79x = 1,187.99 × 524.71
  4. Step 4: Simplify right side
    860.79x = 623,346.71
  5. Step 5: Solve for x
    x = 623,346.71/860.79
  6. Step 6: Final answer
    x = 724.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.