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Finding the Fourth Proportional to 697.02, 960.38 and 500.19

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Solution

The fourth proportional to 697.02, 960.38 and 500.19 is: 689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.02 : 960.38 = 500.19 : x
  2. Step 2: Convert to fraction form
    697.02/960.38 = 500.19/x
  3. Step 3: Cross multiply
    697.02x = 960.38 × 500.19
  4. Step 4: Simplify right side
    697.02x = 480,372.47
  5. Step 5: Solve for x
    x = 480,372.47/697.02
  6. Step 6: Final answer
    x = 689.18

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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.