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Finding the Fourth Proportional to 741.57, 1,109.53 and 460.18

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Solution

The fourth proportional to 741.57, 1,109.53 and 460.18 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.57 : 1,109.53 = 460.18 : x
  2. Step 2: Convert to fraction form
    741.57/1,109.53 = 460.18/x
  3. Step 3: Cross multiply
    741.57x = 1,109.53 × 460.18
  4. Step 4: Simplify right side
    741.57x = 510,585.48
  5. Step 5: Solve for x
    x = 510,585.48/741.57
  6. Step 6: Final answer
    x = 688.52

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1.5x scale

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.