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Finding the Fourth Proportional to 1,153.48, 1,592.26 and 780.28

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Solution

The fourth proportional to 1,153.48, 1,592.26 and 780.28 is: 1,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.48 : 1,592.26 = 780.28 : x
  2. Step 2: Convert to fraction form
    1,153.48/1,592.26 = 780.28/x
  3. Step 3: Cross multiply
    1,153.48x = 1,592.26 × 780.28
  4. Step 4: Simplify right side
    1,153.48x = 1,242,408.63
  5. Step 5: Solve for x
    x = 1,242,408.63/1,153.48
  6. Step 6: Final answer
    x = 1,077.10

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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.