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Finding the Fourth Proportional to 1,056.71, 1,585.08 and 287.21

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Solution

The fourth proportional to 1,056.71, 1,585.08 and 287.21 is: 430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.71 : 1,585.08 = 287.21 : x
  2. Step 2: Convert to fraction form
    1,056.71/1,585.08 = 287.21/x
  3. Step 3: Cross multiply
    1,056.71x = 1,585.08 × 287.21
  4. Step 4: Simplify right side
    1,056.71x = 455,242.90
  5. Step 5: Solve for x
    x = 455,242.90/1,056.71
  6. Step 6: Final answer
    x = 430.81

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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.