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Finding the Fourth Proportional to 697.06, 960.67 and 677.07

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Solution

The fourth proportional to 697.06, 960.67 and 677.07 is: 933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.06 : 960.67 = 677.07 : x
  2. Step 2: Convert to fraction form
    697.06/960.67 = 677.07/x
  3. Step 3: Cross multiply
    697.06x = 960.67 × 677.07
  4. Step 4: Simplify right side
    697.06x = 650,437.91
  5. Step 5: Solve for x
    x = 650,437.91/697.06
  6. Step 6: Final answer
    x = 933.12

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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.