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Finding the Fourth Proportional to 735.97, 1,015.20 and 502.69

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Solution

The fourth proportional to 735.97, 1,015.20 and 502.69 is: 693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.97 : 1,015.20 = 502.69 : x
  2. Step 2: Convert to fraction form
    735.97/1,015.20 = 502.69/x
  3. Step 3: Cross multiply
    735.97x = 1,015.20 × 502.69
  4. Step 4: Simplify right side
    735.97x = 510,328.35
  5. Step 5: Solve for x
    x = 510,328.35/735.97
  6. Step 6: Final answer
    x = 693.41

Related Problems

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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.