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Finding the Fourth Proportional to 741.75, 1,113.06 and 412.74

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Solution

The fourth proportional to 741.75, 1,113.06 and 412.74 is: 619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.75 : 1,113.06 = 412.74 : x
  2. Step 2: Convert to fraction form
    741.75/1,113.06 = 412.74/x
  3. Step 3: Cross multiply
    741.75x = 1,113.06 × 412.74
  4. Step 4: Simplify right side
    741.75x = 459,404.38
  5. Step 5: Solve for x
    x = 459,404.38/741.75
  6. Step 6: Final answer
    x = 619.35

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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.