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Finding the Fourth Proportional to 758.82, 1,046.70 and 706.08

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Solution

The fourth proportional to 758.82, 1,046.70 and 706.08 is: 973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.82 : 1,046.70 = 706.08 : x
  2. Step 2: Convert to fraction form
    758.82/1,046.70 = 706.08/x
  3. Step 3: Cross multiply
    758.82x = 1,046.70 × 706.08
  4. Step 4: Simplify right side
    758.82x = 739,053.94
  5. Step 5: Solve for x
    x = 739,053.94/758.82
  6. Step 6: Final answer
    x = 973.95

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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.