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Finding the Fourth Proportional to 1,709.16, 2,356.02 and 1,044.78

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Solution

The fourth proportional to 1,709.16, 2,356.02 and 1,044.78 is: 1,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.16 : 2,356.02 = 1,044.78 : x
  2. Step 2: Convert to fraction form
    1,709.16/2,356.02 = 1,044.78/x
  3. Step 3: Cross multiply
    1,709.16x = 2,356.02 × 1,044.78
  4. Step 4: Simplify right side
    1,709.16x = 2,461,522.58
  5. Step 5: Solve for x
    x = 2,461,522.58/1,709.16
  6. Step 6: Final answer
    x = 1,440.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.