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Finding the Fourth Proportional to 1,300.56, 1,951.02 and 478.80

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Solution

The fourth proportional to 1,300.56, 1,951.02 and 478.80 is: 718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.56 : 1,951.02 = 478.80 : x
  2. Step 2: Convert to fraction form
    1,300.56/1,951.02 = 478.80/x
  3. Step 3: Cross multiply
    1,300.56x = 1,951.02 × 478.80
  4. Step 4: Simplify right side
    1,300.56x = 934,148.38
  5. Step 5: Solve for x
    x = 934,148.38/1,300.56
  6. Step 6: Final answer
    x = 718.27

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