Home / 1,026.03-1,539.50-478.14

Finding the Fourth Proportional to 1,026.03, 1,539.50 and 478.14

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Solution

The fourth proportional to 1,026.03, 1,539.50 and 478.14 is: 717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.03 : 1,539.50 = 478.14 : x
  2. Step 2: Convert to fraction form
    1,026.03/1,539.50 = 478.14/x
  3. Step 3: Cross multiply
    1,026.03x = 1,539.50 × 478.14
  4. Step 4: Simplify right side
    1,026.03x = 736,094.14
  5. Step 5: Solve for x
    x = 736,094.14/1,026.03
  6. Step 6: Final answer
    x = 717.42

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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.