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Finding the Fourth Proportional to 735.19, 1,015.17 and 473.66

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Solution

The fourth proportional to 735.19, 1,015.17 and 473.66 is: 654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.19 : 1,015.17 = 473.66 : x
  2. Step 2: Convert to fraction form
    735.19/1,015.17 = 473.66/x
  3. Step 3: Cross multiply
    735.19x = 1,015.17 × 473.66
  4. Step 4: Simplify right side
    735.19x = 480,842.38
  5. Step 5: Solve for x
    x = 480,842.38/735.19
  6. Step 6: Final answer
    x = 654.04

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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.