Home / 1,140.18-1,574.01-742.02

Finding the Fourth Proportional to 1,140.18, 1,574.01 and 742.02

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Solution

The fourth proportional to 1,140.18, 1,574.01 and 742.02 is: 1,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.18 : 1,574.01 = 742.02 : x
  2. Step 2: Convert to fraction form
    1,140.18/1,574.01 = 742.02/x
  3. Step 3: Cross multiply
    1,140.18x = 1,574.01 × 742.02
  4. Step 4: Simplify right side
    1,140.18x = 1,167,946.90
  5. Step 5: Solve for x
    x = 1,167,946.90/1,140.18
  6. Step 6: Final answer
    x = 1,024.35

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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.