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Finding the Fourth Proportional to 951.51, 1,420.83 and 778.52

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Solution

The fourth proportional to 951.51, 1,420.83 and 778.52 is: 1,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.51 : 1,420.83 = 778.52 : x
  2. Step 2: Convert to fraction form
    951.51/1,420.83 = 778.52/x
  3. Step 3: Cross multiply
    951.51x = 1,420.83 × 778.52
  4. Step 4: Simplify right side
    951.51x = 1,106,140.39
  5. Step 5: Solve for x
    x = 1,106,140.39/951.51
  6. Step 6: Final answer
    x = 1,162.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.