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Finding the Fourth Proportional to 699.32, 971.39 and 688.16

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Solution

The fourth proportional to 699.32, 971.39 and 688.16 is: 955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.32 : 971.39 = 688.16 : x
  2. Step 2: Convert to fraction form
    699.32/971.39 = 688.16/x
  3. Step 3: Cross multiply
    699.32x = 971.39 × 688.16
  4. Step 4: Simplify right side
    699.32x = 668,471.74
  5. Step 5: Solve for x
    x = 668,471.74/699.32
  6. Step 6: Final answer
    x = 955.89

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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.