Home / 1,297.50-1,946.30-420.04

Finding the Fourth Proportional to 1,297.50, 1,946.30 and 420.04

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Solution

The fourth proportional to 1,297.50, 1,946.30 and 420.04 is: 630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.50 : 1,946.30 = 420.04 : x
  2. Step 2: Convert to fraction form
    1,297.50/1,946.30 = 420.04/x
  3. Step 3: Cross multiply
    1,297.50x = 1,946.30 × 420.04
  4. Step 4: Simplify right side
    1,297.50x = 817,523.85
  5. Step 5: Solve for x
    x = 817,523.85/1,297.50
  6. Step 6: Final answer
    x = 630.08

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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.