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Finding the Fourth Proportional to 1,875.29, 2,812.73 and 558.90

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Solution

The fourth proportional to 1,875.29, 2,812.73 and 558.90 is: 838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.29 : 2,812.73 = 558.90 : x
  2. Step 2: Convert to fraction form
    1,875.29/2,812.73 = 558.90/x
  3. Step 3: Cross multiply
    1,875.29x = 2,812.73 × 558.90
  4. Step 4: Simplify right side
    1,875.29x = 1,572,032.00
  5. Step 5: Solve for x
    x = 1,572,032.00/1,875.29
  6. Step 6: Final answer
    x = 838.29

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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.