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Finding the Fourth Proportional to 1,347.78, 1,859.76 and 816.60

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Solution

The fourth proportional to 1,347.78, 1,859.76 and 816.60 is: 1,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.78 : 1,859.76 = 816.60 : x
  2. Step 2: Convert to fraction form
    1,347.78/1,859.76 = 816.60/x
  3. Step 3: Cross multiply
    1,347.78x = 1,859.76 × 816.60
  4. Step 4: Simplify right side
    1,347.78x = 1,518,680.02
  5. Step 5: Solve for x
    x = 1,518,680.02/1,347.78
  6. Step 6: Final answer
    x = 1,126.80

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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.