Home / 1,138.02-1,705.96-407.40

Finding the Fourth Proportional to 1,138.02, 1,705.96 and 407.40

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Solution

The fourth proportional to 1,138.02, 1,705.96 and 407.40 is: 610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.02 : 1,705.96 = 407.40 : x
  2. Step 2: Convert to fraction form
    1,138.02/1,705.96 = 407.40/x
  3. Step 3: Cross multiply
    1,138.02x = 1,705.96 × 407.40
  4. Step 4: Simplify right side
    1,138.02x = 695,008.10
  5. Step 5: Solve for x
    x = 695,008.10/1,138.02
  6. Step 6: Final answer
    x = 610.72

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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.