Home / 1,298.25-1,946.21-476.35

Finding the Fourth Proportional to 1,298.25, 1,946.21 and 476.35

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Solution

The fourth proportional to 1,298.25, 1,946.21 and 476.35 is: 714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.25 : 1,946.21 = 476.35 : x
  2. Step 2: Convert to fraction form
    1,298.25/1,946.21 = 476.35/x
  3. Step 3: Cross multiply
    1,298.25x = 1,946.21 × 476.35
  4. Step 4: Simplify right side
    1,298.25x = 927,069.89
  5. Step 5: Solve for x
    x = 927,069.89/1,298.25
  6. Step 6: Final answer
    x = 714.09

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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.