Home / 1,044.50-1,566.79-314.06

Finding the Fourth Proportional to 1,044.50, 1,566.79 and 314.06

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Solution

The fourth proportional to 1,044.50, 1,566.79 and 314.06 is: 471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.50 : 1,566.79 = 314.06 : x
  2. Step 2: Convert to fraction form
    1,044.50/1,566.79 = 314.06/x
  3. Step 3: Cross multiply
    1,044.50x = 1,566.79 × 314.06
  4. Step 4: Simplify right side
    1,044.50x = 492,066.07
  5. Step 5: Solve for x
    x = 492,066.07/1,044.50
  6. Step 6: Final answer
    x = 471.10

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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.