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Finding the Fourth Proportional to 741.75, 1,024.16 and 545.55

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Solution

The fourth proportional to 741.75, 1,024.16 and 545.55 is: 753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.75 : 1,024.16 = 545.55 : x
  2. Step 2: Convert to fraction form
    741.75/1,024.16 = 545.55/x
  3. Step 3: Cross multiply
    741.75x = 1,024.16 × 545.55
  4. Step 4: Simplify right side
    741.75x = 558,727.76
  5. Step 5: Solve for x
    x = 558,727.76/741.75
  6. Step 6: Final answer
    x = 753.26

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1.5x scale

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.