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Finding the Fourth Proportional to 1,359.12, 2,035.28 and 870.68

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Solution

The fourth proportional to 1,359.12, 2,035.28 and 870.68 is: 1,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.12 : 2,035.28 = 870.68 : x
  2. Step 2: Convert to fraction form
    1,359.12/2,035.28 = 870.68/x
  3. Step 3: Cross multiply
    1,359.12x = 2,035.28 × 870.68
  4. Step 4: Simplify right side
    1,359.12x = 1,772,077.59
  5. Step 5: Solve for x
    x = 1,772,077.59/1,359.12
  6. Step 6: Final answer
    x = 1,303.84

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Why These Related Problems?

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