Home / 1,298.49-1,946.58-476.54

Finding the Fourth Proportional to 1,298.49, 1,946.58 and 476.54

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Solution

The fourth proportional to 1,298.49, 1,946.58 and 476.54 is: 714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.49 : 1,946.58 = 476.54 : x
  2. Step 2: Convert to fraction form
    1,298.49/1,946.58 = 476.54/x
  3. Step 3: Cross multiply
    1,298.49x = 1,946.58 × 476.54
  4. Step 4: Simplify right side
    1,298.49x = 927,623.23
  5. Step 5: Solve for x
    x = 927,623.23/1,298.49
  6. Step 6: Final answer
    x = 714.39

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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.