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Finding the Fourth Proportional to 1,151.82, 1,590.10 and 780.76

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Solution

The fourth proportional to 1,151.82, 1,590.10 and 780.76 is: 1,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.82 : 1,590.10 = 780.76 : x
  2. Step 2: Convert to fraction form
    1,151.82/1,590.10 = 780.76/x
  3. Step 3: Cross multiply
    1,151.82x = 1,590.10 × 780.76
  4. Step 4: Simplify right side
    1,151.82x = 1,241,486.48
  5. Step 5: Solve for x
    x = 1,241,486.48/1,151.82
  6. Step 6: Final answer
    x = 1,077.85

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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.