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Finding the Fourth Proportional to 1,038.95, 1,557.23 and 518.42

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Solution

The fourth proportional to 1,038.95, 1,557.23 and 518.42 is: 777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.95 : 1,557.23 = 518.42 : x
  2. Step 2: Convert to fraction form
    1,038.95/1,557.23 = 518.42/x
  3. Step 3: Cross multiply
    1,038.95x = 1,557.23 × 518.42
  4. Step 4: Simplify right side
    1,038.95x = 807,304.37
  5. Step 5: Solve for x
    x = 807,304.37/1,038.95
  6. Step 6: Final answer
    x = 777.04

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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.