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Finding the Fourth Proportional to 1,317.66, 1,818.47 and 758.31

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Solution

The fourth proportional to 1,317.66, 1,818.47 and 758.31 is: 1,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.66 : 1,818.47 = 758.31 : x
  2. Step 2: Convert to fraction form
    1,317.66/1,818.47 = 758.31/x
  3. Step 3: Cross multiply
    1,317.66x = 1,818.47 × 758.31
  4. Step 4: Simplify right side
    1,317.66x = 1,378,959.06
  5. Step 5: Solve for x
    x = 1,378,959.06/1,317.66
  6. Step 6: Final answer
    x = 1,046.52

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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.