Home / 1,038.08-1,557.30-307.70

Finding the Fourth Proportional to 1,038.08, 1,557.30 and 307.70

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Solution

The fourth proportional to 1,038.08, 1,557.30 and 307.70 is: 461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.08 : 1,557.30 = 307.70 : x
  2. Step 2: Convert to fraction form
    1,038.08/1,557.30 = 307.70/x
  3. Step 3: Cross multiply
    1,038.08x = 1,557.30 × 307.70
  4. Step 4: Simplify right side
    1,038.08x = 479,181.21
  5. Step 5: Solve for x
    x = 479,181.21/1,038.08
  6. Step 6: Final answer
    x = 461.60

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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.