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Finding the Fourth Proportional to 1,151.83, 1,589.67 and 857.93

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Solution

The fourth proportional to 1,151.83, 1,589.67 and 857.93 is: 1,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.83 : 1,589.67 = 857.93 : x
  2. Step 2: Convert to fraction form
    1,151.83/1,589.67 = 857.93/x
  3. Step 3: Cross multiply
    1,151.83x = 1,589.67 × 857.93
  4. Step 4: Simplify right side
    1,151.83x = 1,363,821.29
  5. Step 5: Solve for x
    x = 1,363,821.29/1,151.83
  6. Step 6: Final answer
    x = 1,184.05

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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.