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Finding the Fourth Proportional to 693.70, 972.80 and 693.70

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Solution

The fourth proportional to 693.70, 972.80 and 693.70 is: 972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.70 : 972.80 = 693.70 : x
  2. Step 2: Convert to fraction form
    693.70/972.80 = 693.70/x
  3. Step 3: Cross multiply
    693.70x = 972.80 × 693.70
  4. Step 4: Simplify right side
    693.70x = 674,831.36
  5. Step 5: Solve for x
    x = 674,831.36/693.70
  6. Step 6: Final answer
    x = 972.80

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Double scale
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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.