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Finding the Fourth Proportional to 709.44, 972.68 and 697.20

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Solution

The fourth proportional to 709.44, 972.68 and 697.20 is: 955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.44 : 972.68 = 697.20 : x
  2. Step 2: Convert to fraction form
    709.44/972.68 = 697.20/x
  3. Step 3: Cross multiply
    709.44x = 972.68 × 697.20
  4. Step 4: Simplify right side
    709.44x = 678,152.50
  5. Step 5: Solve for x
    x = 678,152.50/709.44
  6. Step 6: Final answer
    x = 955.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.