Home / 1,038.24-1,557.09-307.62

Finding the Fourth Proportional to 1,038.24, 1,557.09 and 307.62

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Solution

The fourth proportional to 1,038.24, 1,557.09 and 307.62 is: 461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.24 : 1,557.09 = 307.62 : x
  2. Step 2: Convert to fraction form
    1,038.24/1,557.09 = 307.62/x
  3. Step 3: Cross multiply
    1,038.24x = 1,557.09 × 307.62
  4. Step 4: Simplify right side
    1,038.24x = 478,992.03
  5. Step 5: Solve for x
    x = 478,992.03/1,038.24
  6. Step 6: Final answer
    x = 461.35

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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.