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Finding the Fourth Proportional to 1,038.66, 1,557.17 and 518.39

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Solution

The fourth proportional to 1,038.66, 1,557.17 and 518.39 is: 777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.66 : 1,557.17 = 518.39 : x
  2. Step 2: Convert to fraction form
    1,038.66/1,557.17 = 518.39/x
  3. Step 3: Cross multiply
    1,038.66x = 1,557.17 × 518.39
  4. Step 4: Simplify right side
    1,038.66x = 807,228.11
  5. Step 5: Solve for x
    x = 807,228.11/1,038.66
  6. Step 6: Final answer
    x = 777.18

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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.