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Finding the Fourth Proportional to 1,345.17, 1,856.28 and 755.90

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Solution

The fourth proportional to 1,345.17, 1,856.28 and 755.90 is: 1,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.17 : 1,856.28 = 755.90 : x
  2. Step 2: Convert to fraction form
    1,345.17/1,856.28 = 755.90/x
  3. Step 3: Cross multiply
    1,345.17x = 1,856.28 × 755.90
  4. Step 4: Simplify right side
    1,345.17x = 1,403,162.05
  5. Step 5: Solve for x
    x = 1,403,162.05/1,345.17
  6. Step 6: Final answer
    x = 1,043.11

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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.