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Finding the Fourth Proportional to 1,153.47, 1,592.19 and 780.24

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Solution

The fourth proportional to 1,153.47, 1,592.19 and 780.24 is: 1,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.47 : 1,592.19 = 780.24 : x
  2. Step 2: Convert to fraction form
    1,153.47/1,592.19 = 780.24/x
  3. Step 3: Cross multiply
    1,153.47x = 1,592.19 × 780.24
  4. Step 4: Simplify right side
    1,153.47x = 1,242,290.33
  5. Step 5: Solve for x
    x = 1,242,290.33/1,153.47
  6. Step 6: Final answer
    x = 1,077.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.