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Finding the Fourth Proportional to 1,191.10, 1,642.77 and 817.48

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Solution

The fourth proportional to 1,191.10, 1,642.77 and 817.48 is: 1,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.10 : 1,642.77 = 817.48 : x
  2. Step 2: Convert to fraction form
    1,191.10/1,642.77 = 817.48/x
  3. Step 3: Cross multiply
    1,191.10x = 1,642.77 × 817.48
  4. Step 4: Simplify right side
    1,191.10x = 1,342,931.62
  5. Step 5: Solve for x
    x = 1,342,931.62/1,191.10
  6. Step 6: Final answer
    x = 1,127.47

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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.