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Finding the Fourth Proportional to 1,130.69, 1,560.66 and 757.69

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Solution

The fourth proportional to 1,130.69, 1,560.66 and 757.69 is: 1,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.69 : 1,560.66 = 757.69 : x
  2. Step 2: Convert to fraction form
    1,130.69/1,560.66 = 757.69/x
  3. Step 3: Cross multiply
    1,130.69x = 1,560.66 × 757.69
  4. Step 4: Simplify right side
    1,130.69x = 1,182,496.48
  5. Step 5: Solve for x
    x = 1,182,496.48/1,130.69
  6. Step 6: Final answer
    x = 1,045.82

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Double scale
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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.