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Finding the Fourth Proportional to 1,347.47, 1,859.36 and 758.00

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Solution

The fourth proportional to 1,347.47, 1,859.36 and 758.00 is: 1,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.47 : 1,859.36 = 758.00 : x
  2. Step 2: Convert to fraction form
    1,347.47/1,859.36 = 758.00/x
  3. Step 3: Cross multiply
    1,347.47x = 1,859.36 × 758.00
  4. Step 4: Simplify right side
    1,347.47x = 1,409,385.58
  5. Step 5: Solve for x
    x = 1,409,385.58/1,347.47
  6. Step 6: Final answer
    x = 1,045.95

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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.