Home / 1,498.02-2,246.41-457.75

Finding the Fourth Proportional to 1,498.02, 2,246.41 and 457.75

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Solution

The fourth proportional to 1,498.02, 2,246.41 and 457.75 is: 686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.02 : 2,246.41 = 457.75 : x
  2. Step 2: Convert to fraction form
    1,498.02/2,246.41 = 457.75/x
  3. Step 3: Cross multiply
    1,498.02x = 2,246.41 × 457.75
  4. Step 4: Simplify right side
    1,498.02x = 1,028,294.18
  5. Step 5: Solve for x
    x = 1,028,294.18/1,498.02
  6. Step 6: Final answer
    x = 686.44

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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.