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Finding the Fourth Proportional to 928.71, 1,390.32 and 580.99

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Solution

The fourth proportional to 928.71, 1,390.32 and 580.99 is: 869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.71 : 1,390.32 = 580.99 : x
  2. Step 2: Convert to fraction form
    928.71/1,390.32 = 580.99/x
  3. Step 3: Cross multiply
    928.71x = 1,390.32 × 580.99
  4. Step 4: Simplify right side
    928.71x = 807,762.78
  5. Step 5: Solve for x
    x = 807,762.78/928.71
  6. Step 6: Final answer
    x = 869.77

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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.