Home / 1,116.16-1,673.10-457.76

Finding the Fourth Proportional to 1,116.16, 1,673.10 and 457.76

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Solution

The fourth proportional to 1,116.16, 1,673.10 and 457.76 is: 686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.16 : 1,673.10 = 457.76 : x
  2. Step 2: Convert to fraction form
    1,116.16/1,673.10 = 457.76/x
  3. Step 3: Cross multiply
    1,116.16x = 1,673.10 × 457.76
  4. Step 4: Simplify right side
    1,116.16x = 765,882.44
  5. Step 5: Solve for x
    x = 765,882.44/1,116.16
  6. Step 6: Final answer
    x = 686.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.