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Finding the Fourth Proportional to 768.76, 1,059.69 and 705.20

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Solution

The fourth proportional to 768.76, 1,059.69 and 705.20 is: 972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.76 : 1,059.69 = 705.20 : x
  2. Step 2: Convert to fraction form
    768.76/1,059.69 = 705.20/x
  3. Step 3: Cross multiply
    768.76x = 1,059.69 × 705.20
  4. Step 4: Simplify right side
    768.76x = 747,293.39
  5. Step 5: Solve for x
    x = 747,293.39/768.76
  6. Step 6: Final answer
    x = 972.08

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.