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Finding the Fourth Proportional to 1,056.76, 1,585.12 and 287.24

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Solution

The fourth proportional to 1,056.76, 1,585.12 and 287.24 is: 430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.76 : 1,585.12 = 287.24 : x
  2. Step 2: Convert to fraction form
    1,056.76/1,585.12 = 287.24/x
  3. Step 3: Cross multiply
    1,056.76x = 1,585.12 × 287.24
  4. Step 4: Simplify right side
    1,056.76x = 455,309.87
  5. Step 5: Solve for x
    x = 455,309.87/1,056.76
  6. Step 6: Final answer
    x = 430.85

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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.