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Finding the Fourth Proportional to 1,410.64, 2,114.76 and 545.56

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Solution

The fourth proportional to 1,410.64, 2,114.76 and 545.56 is: 817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.64 : 2,114.76 = 545.56 : x
  2. Step 2: Convert to fraction form
    1,410.64/2,114.76 = 545.56/x
  3. Step 3: Cross multiply
    1,410.64x = 2,114.76 × 545.56
  4. Step 4: Simplify right side
    1,410.64x = 1,153,728.47
  5. Step 5: Solve for x
    x = 1,153,728.47/1,410.64
  6. Step 6: Final answer
    x = 817.88

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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.