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Finding the Fourth Proportional to 1,345.32, 2,017.20 and 695.88

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Solution

The fourth proportional to 1,345.32, 2,017.20 and 695.88 is: 1,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.32 : 2,017.20 = 695.88 : x
  2. Step 2: Convert to fraction form
    1,345.32/2,017.20 = 695.88/x
  3. Step 3: Cross multiply
    1,345.32x = 2,017.20 × 695.88
  4. Step 4: Simplify right side
    1,345.32x = 1,403,729.14
  5. Step 5: Solve for x
    x = 1,403,729.14/1,345.32
  6. Step 6: Final answer
    x = 1,043.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.