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Finding the Fourth Proportional to 926.88, 1,280.56 and 706.72

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Solution

The fourth proportional to 926.88, 1,280.56 and 706.72 is: 976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.88 : 1,280.56 = 706.72 : x
  2. Step 2: Convert to fraction form
    926.88/1,280.56 = 706.72/x
  3. Step 3: Cross multiply
    926.88x = 1,280.56 × 706.72
  4. Step 4: Simplify right side
    926.88x = 904,997.36
  5. Step 5: Solve for x
    x = 904,997.36/926.88
  6. Step 6: Final answer
    x = 976.39

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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.