Home / 1,298.23-1,946.19-476.31

Finding the Fourth Proportional to 1,298.23, 1,946.19 and 476.31

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Solution

The fourth proportional to 1,298.23, 1,946.19 and 476.31 is: 714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.23 : 1,946.19 = 476.31 : x
  2. Step 2: Convert to fraction form
    1,298.23/1,946.19 = 476.31/x
  3. Step 3: Cross multiply
    1,298.23x = 1,946.19 × 476.31
  4. Step 4: Simplify right side
    1,298.23x = 926,987.38
  5. Step 5: Solve for x
    x = 926,987.38/1,298.23
  6. Step 6: Final answer
    x = 714.04

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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.