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Finding the Fourth Proportional to 697.44, 960 and 614.76

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Solution

The fourth proportional to 697.44, 960 and 614.76 is: 846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.44 : 960 = 614.76 : x
  2. Step 2: Convert to fraction form
    697.44/960 = 614.76/x
  3. Step 3: Cross multiply
    697.44x = 960 × 614.76
  4. Step 4: Simplify right side
    697.44x = 590,169.60
  5. Step 5: Solve for x
    x = 590,169.60/697.44
  6. Step 6: Final answer
    x = 846.19

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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.