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Finding the Fourth Proportional to 1,574, 2,361 and 478.34

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Solution

The fourth proportional to 1,574, 2,361 and 478.34 is: 717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574 : 2,361 = 478.34 : x
  2. Step 2: Convert to fraction form
    1,574/2,361 = 478.34/x
  3. Step 3: Cross multiply
    1,574x = 2,361 × 478.34
  4. Step 4: Simplify right side
    1,574x = 1,129,360.74
  5. Step 5: Solve for x
    x = 1,129,360.74/1,574
  6. Step 6: Final answer
    x = 717.51

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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.