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Finding the Fourth Proportional to 1,026.19, 1,539.47 and 478.09

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Solution

The fourth proportional to 1,026.19, 1,539.47 and 478.09 is: 717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.19 : 1,539.47 = 478.09 : x
  2. Step 2: Convert to fraction form
    1,026.19/1,539.47 = 478.09/x
  3. Step 3: Cross multiply
    1,026.19x = 1,539.47 × 478.09
  4. Step 4: Simplify right side
    1,026.19x = 736,005.21
  5. Step 5: Solve for x
    x = 736,005.21/1,026.19
  6. Step 6: Final answer
    x = 717.22

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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.