Home / 1,298.78-1,946.59-476.61

Finding the Fourth Proportional to 1,298.78, 1,946.59 and 476.61

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Solution

The fourth proportional to 1,298.78, 1,946.59 and 476.61 is: 714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.78 : 1,946.59 = 476.61 : x
  2. Step 2: Convert to fraction form
    1,298.78/1,946.59 = 476.61/x
  3. Step 3: Cross multiply
    1,298.78x = 1,946.59 × 476.61
  4. Step 4: Simplify right side
    1,298.78x = 927,764.26
  5. Step 5: Solve for x
    x = 927,764.26/1,298.78
  6. Step 6: Final answer
    x = 714.34

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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.