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Finding the Fourth Proportional to 1,345.02, 1,856.07 and 755.60

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Solution

The fourth proportional to 1,345.02, 1,856.07 and 755.60 is: 1,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.02 : 1,856.07 = 755.60 : x
  2. Step 2: Convert to fraction form
    1,345.02/1,856.07 = 755.60/x
  3. Step 3: Cross multiply
    1,345.02x = 1,856.07 × 755.60
  4. Step 4: Simplify right side
    1,345.02x = 1,402,437.21
  5. Step 5: Solve for x
    x = 1,402,437.21/1,345.02
  6. Step 6: Final answer
    x = 1,042.69

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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.