Home / 1,038.29-1,557.09-490.12

Finding the Fourth Proportional to 1,038.29, 1,557.09 and 490.12

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Solution

The fourth proportional to 1,038.29, 1,557.09 and 490.12 is: 735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.29 : 1,557.09 = 490.12 : x
  2. Step 2: Convert to fraction form
    1,038.29/1,557.09 = 490.12/x
  3. Step 3: Cross multiply
    1,038.29x = 1,557.09 × 490.12
  4. Step 4: Simplify right side
    1,038.29x = 763,157.06
  5. Step 5: Solve for x
    x = 763,157.06/1,038.29
  6. Step 6: Final answer
    x = 735.02

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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.