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Finding the Fourth Proportional to 1,798.40, 2,695.52 and 977.04

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Solution

The fourth proportional to 1,798.40, 2,695.52 and 977.04 is: 1,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.40 : 2,695.52 = 977.04 : x
  2. Step 2: Convert to fraction form
    1,798.40/2,695.52 = 977.04/x
  3. Step 3: Cross multiply
    1,798.40x = 2,695.52 × 977.04
  4. Step 4: Simplify right side
    1,798.40x = 2,633,630.86
  5. Step 5: Solve for x
    x = 2,633,630.86/1,798.40
  6. Step 6: Final answer
    x = 1,464.43

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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.