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Finding the Fourth Proportional to 1,025.98, 1,535.91 and 608.20

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Solution

The fourth proportional to 1,025.98, 1,535.91 and 608.20 is: 910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.98 : 1,535.91 = 608.20 : x
  2. Step 2: Convert to fraction form
    1,025.98/1,535.91 = 608.20/x
  3. Step 3: Cross multiply
    1,025.98x = 1,535.91 × 608.20
  4. Step 4: Simplify right side
    1,025.98x = 934,140.46
  5. Step 5: Solve for x
    x = 934,140.46/1,025.98
  6. Step 6: Final answer
    x = 910.49

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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.