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Finding the Fourth Proportional to 715.16, 1,067.95 and 707.51

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Solution

The fourth proportional to 715.16, 1,067.95 and 707.51 is: 1,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.16 : 1,067.95 = 707.51 : x
  2. Step 2: Convert to fraction form
    715.16/1,067.95 = 707.51/x
  3. Step 3: Cross multiply
    715.16x = 1,067.95 × 707.51
  4. Step 4: Simplify right side
    715.16x = 755,585.30
  5. Step 5: Solve for x
    x = 755,585.30/715.16
  6. Step 6: Final answer
    x = 1,056.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.