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Finding the Fourth Proportional to 1,663.71, 2,294.02 and 1,243.35

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Solution

The fourth proportional to 1,663.71, 2,294.02 and 1,243.35 is: 1,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.71 : 2,294.02 = 1,243.35 : x
  2. Step 2: Convert to fraction form
    1,663.71/2,294.02 = 1,243.35/x
  3. Step 3: Cross multiply
    1,663.71x = 2,294.02 × 1,243.35
  4. Step 4: Simplify right side
    1,663.71x = 2,852,263.55
  5. Step 5: Solve for x
    x = 2,852,263.55/1,663.71
  6. Step 6: Final answer
    x = 1,714.40

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1.5x scale

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.