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Finding the Fourth Proportional to 741.26, 1,022.98 and 430.76

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Solution

The fourth proportional to 741.26, 1,022.98 and 430.76 is: 594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.26 : 1,022.98 = 430.76 : x
  2. Step 2: Convert to fraction form
    741.26/1,022.98 = 430.76/x
  3. Step 3: Cross multiply
    741.26x = 1,022.98 × 430.76
  4. Step 4: Simplify right side
    741.26x = 440,658.86
  5. Step 5: Solve for x
    x = 440,658.86/741.26
  6. Step 6: Final answer
    x = 594.47

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Half scale
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Double scale
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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.