Home / 1,053.04-1,577.59-880.82

Finding the Fourth Proportional to 1,053.04, 1,577.59 and 880.82

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Solution

The fourth proportional to 1,053.04, 1,577.59 and 880.82 is: 1,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.04 : 1,577.59 = 880.82 : x
  2. Step 2: Convert to fraction form
    1,053.04/1,577.59 = 880.82/x
  3. Step 3: Cross multiply
    1,053.04x = 1,577.59 × 880.82
  4. Step 4: Simplify right side
    1,053.04x = 1,389,569.98
  5. Step 5: Solve for x
    x = 1,389,569.98/1,053.04
  6. Step 6: Final answer
    x = 1,319.57

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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.