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Finding the Fourth Proportional to 767.19, 1,059.29 and 678.77

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Solution

The fourth proportional to 767.19, 1,059.29 and 678.77 is: 937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.19 : 1,059.29 = 678.77 : x
  2. Step 2: Convert to fraction form
    767.19/1,059.29 = 678.77/x
  3. Step 3: Cross multiply
    767.19x = 1,059.29 × 678.77
  4. Step 4: Simplify right side
    767.19x = 719,010.67
  5. Step 5: Solve for x
    x = 719,010.67/767.19
  6. Step 6: Final answer
    x = 937.20

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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.