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Finding the Fourth Proportional to 697.20, 977.70 and 697.20

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Solution

The fourth proportional to 697.20, 977.70 and 697.20 is: 977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.20 : 977.70 = 697.20 : x
  2. Step 2: Convert to fraction form
    697.20/977.70 = 697.20/x
  3. Step 3: Cross multiply
    697.20x = 977.70 × 697.20
  4. Step 4: Simplify right side
    697.20x = 681,652.44
  5. Step 5: Solve for x
    x = 681,652.44/697.20
  6. Step 6: Final answer
    x = 977.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.