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Finding the Fourth Proportional to 1,117.80, 1,540.62 and 767.88

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Solution

The fourth proportional to 1,117.80, 1,540.62 and 767.88 is: 1,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.80 : 1,540.62 = 767.88 : x
  2. Step 2: Convert to fraction form
    1,117.80/1,540.62 = 767.88/x
  3. Step 3: Cross multiply
    1,117.80x = 1,540.62 × 767.88
  4. Step 4: Simplify right side
    1,117.80x = 1,183,011.29
  5. Step 5: Solve for x
    x = 1,183,011.29/1,117.80
  6. Step 6: Final answer
    x = 1,058.34

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Half scale
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Double scale
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1.5x scale

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.