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Finding the Fourth Proportional to 699.24, 971.28 and 688.07

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Solution

The fourth proportional to 699.24, 971.28 and 688.07 is: 955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.24 : 971.28 = 688.07 : x
  2. Step 2: Convert to fraction form
    699.24/971.28 = 688.07/x
  3. Step 3: Cross multiply
    699.24x = 971.28 × 688.07
  4. Step 4: Simplify right side
    699.24x = 668,311.06
  5. Step 5: Solve for x
    x = 668,311.06/699.24
  6. Step 6: Final answer
    x = 955.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.