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Finding the Fourth Proportional to 1,465.86, 2,023.08 and 836.49

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Solution

The fourth proportional to 1,465.86, 2,023.08 and 836.49 is: 1,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.86 : 2,023.08 = 836.49 : x
  2. Step 2: Convert to fraction form
    1,465.86/2,023.08 = 836.49/x
  3. Step 3: Cross multiply
    1,465.86x = 2,023.08 × 836.49
  4. Step 4: Simplify right side
    1,465.86x = 1,692,290.64
  5. Step 5: Solve for x
    x = 1,692,290.64/1,465.86
  6. Step 6: Final answer
    x = 1,154.47

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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.