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Finding the Fourth Proportional to 759.42, 1,048.04 and 460.69

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Solution

The fourth proportional to 759.42, 1,048.04 and 460.69 is: 635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.42 : 1,048.04 = 460.69 : x
  2. Step 2: Convert to fraction form
    759.42/1,048.04 = 460.69/x
  3. Step 3: Cross multiply
    759.42x = 1,048.04 × 460.69
  4. Step 4: Simplify right side
    759.42x = 482,821.55
  5. Step 5: Solve for x
    x = 482,821.55/759.42
  6. Step 6: Final answer
    x = 635.78

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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.