Home / 1,038.34-1,557.27-307.74

Finding the Fourth Proportional to 1,038.34, 1,557.27 and 307.74

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Solution

The fourth proportional to 1,038.34, 1,557.27 and 307.74 is: 461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.34 : 1,557.27 = 307.74 : x
  2. Step 2: Convert to fraction form
    1,038.34/1,557.27 = 307.74/x
  3. Step 3: Cross multiply
    1,038.34x = 1,557.27 × 307.74
  4. Step 4: Simplify right side
    1,038.34x = 479,234.27
  5. Step 5: Solve for x
    x = 479,234.27/1,038.34
  6. Step 6: Final answer
    x = 461.54

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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.