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Finding the Fourth Proportional to 1,053.02, 1,574.02 and 742.80

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Solution

The fourth proportional to 1,053.02, 1,574.02 and 742.80 is: 1,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.02 : 1,574.02 = 742.80 : x
  2. Step 2: Convert to fraction form
    1,053.02/1,574.02 = 742.80/x
  3. Step 3: Cross multiply
    1,053.02x = 1,574.02 × 742.80
  4. Step 4: Simplify right side
    1,053.02x = 1,169,182.06
  5. Step 5: Solve for x
    x = 1,169,182.06/1,053.02
  6. Step 6: Final answer
    x = 1,110.31

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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.