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Finding the Fourth Proportional to 927.51, 1,280.79 and 761.46

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Solution

The fourth proportional to 927.51, 1,280.79 and 761.46 is: 1,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.51 : 1,280.79 = 761.46 : x
  2. Step 2: Convert to fraction form
    927.51/1,280.79 = 761.46/x
  3. Step 3: Cross multiply
    927.51x = 1,280.79 × 761.46
  4. Step 4: Simplify right side
    927.51x = 975,270.35
  5. Step 5: Solve for x
    x = 975,270.35/927.51
  6. Step 6: Final answer
    x = 1,051.49

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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.