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Finding the Fourth Proportional to 761.34, 1,147.47 and 718.95

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Solution

The fourth proportional to 761.34, 1,147.47 and 718.95 is: 1,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.34 : 1,147.47 = 718.95 : x
  2. Step 2: Convert to fraction form
    761.34/1,147.47 = 718.95/x
  3. Step 3: Cross multiply
    761.34x = 1,147.47 × 718.95
  4. Step 4: Simplify right side
    761.34x = 824,973.56
  5. Step 5: Solve for x
    x = 824,973.56/761.34
  6. Step 6: Final answer
    x = 1,083.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.