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Finding the Fourth Proportional to 1,146.48, 1,582.02 and 847.91

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Solution

The fourth proportional to 1,146.48, 1,582.02 and 847.91 is: 1,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.48 : 1,582.02 = 847.91 : x
  2. Step 2: Convert to fraction form
    1,146.48/1,582.02 = 847.91/x
  3. Step 3: Cross multiply
    1,146.48x = 1,582.02 × 847.91
  4. Step 4: Simplify right side
    1,146.48x = 1,341,410.58
  5. Step 5: Solve for x
    x = 1,341,410.58/1,146.48
  6. Step 6: Final answer
    x = 1,170.03

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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.