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Finding the Fourth Proportional to 1,034.40, 1,543.24 and 976.80

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Solution

The fourth proportional to 1,034.40, 1,543.24 and 976.80 is: 1,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.40 : 1,543.24 = 976.80 : x
  2. Step 2: Convert to fraction form
    1,034.40/1,543.24 = 976.80/x
  3. Step 3: Cross multiply
    1,034.40x = 1,543.24 × 976.80
  4. Step 4: Simplify right side
    1,034.40x = 1,507,436.83
  5. Step 5: Solve for x
    x = 1,507,436.83/1,034.40
  6. Step 6: Final answer
    x = 1,457.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.