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Finding the Fourth Proportional to 1,038.02, 1,557.01 and 308.09

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Solution

The fourth proportional to 1,038.02, 1,557.01 and 308.09 is: 462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.02 : 1,557.01 = 308.09 : x
  2. Step 2: Convert to fraction form
    1,038.02/1,557.01 = 308.09/x
  3. Step 3: Cross multiply
    1,038.02x = 1,557.01 × 308.09
  4. Step 4: Simplify right side
    1,038.02x = 479,699.21
  5. Step 5: Solve for x
    x = 479,699.21/1,038.02
  6. Step 6: Final answer
    x = 462.13

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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.