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Finding the Fourth Proportional to 697.10, 960.94 and 531.02

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Solution

The fourth proportional to 697.10, 960.94 and 531.02 is: 732.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.10 : 960.94 = 531.02 : x
  2. Step 2: Convert to fraction form
    697.10/960.94 = 531.02/x
  3. Step 3: Cross multiply
    697.10x = 960.94 × 531.02
  4. Step 4: Simplify right side
    697.10x = 510,281.42
  5. Step 5: Solve for x
    x = 510,281.42/697.10
  6. Step 6: Final answer
    x = 732.01

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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.