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Finding the Fourth Proportional to 1,053.40, 1,577.82 and 687.08

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Solution

The fourth proportional to 1,053.40, 1,577.82 and 687.08 is: 1,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.40 : 1,577.82 = 687.08 : x
  2. Step 2: Convert to fraction form
    1,053.40/1,577.82 = 687.08/x
  3. Step 3: Cross multiply
    1,053.40x = 1,577.82 × 687.08
  4. Step 4: Simplify right side
    1,053.40x = 1,084,080.68
  5. Step 5: Solve for x
    x = 1,084,080.68/1,053.40
  6. Step 6: Final answer
    x = 1,029.13

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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.