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Finding the Fourth Proportional to 721.68, 999.95 and 706.12

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Solution

The fourth proportional to 721.68, 999.95 and 706.12 is: 978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.68 : 999.95 = 706.12 : x
  2. Step 2: Convert to fraction form
    721.68/999.95 = 706.12/x
  3. Step 3: Cross multiply
    721.68x = 999.95 × 706.12
  4. Step 4: Simplify right side
    721.68x = 706,084.69
  5. Step 5: Solve for x
    x = 706,084.69/721.68
  6. Step 6: Final answer
    x = 978.39

Related Problems

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Half scale
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Double scale
Find fourth proportional to 722.68, 1,001.34 and 707.12
Similar ratio
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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.