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Finding the Fourth Proportional to 1,057.63, 1,586.51 and 288.13

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Solution

The fourth proportional to 1,057.63, 1,586.51 and 288.13 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.63 : 1,586.51 = 288.13 : x
  2. Step 2: Convert to fraction form
    1,057.63/1,586.51 = 288.13/x
  3. Step 3: Cross multiply
    1,057.63x = 1,586.51 × 288.13
  4. Step 4: Simplify right side
    1,057.63x = 457,111.75
  5. Step 5: Solve for x
    x = 457,111.75/1,057.63
  6. Step 6: Final answer
    x = 432.21

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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.