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Finding the Fourth Proportional to 903.01, 1,348.59 and 778.63

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Solution

The fourth proportional to 903.01, 1,348.59 and 778.63 is: 1,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.01 : 1,348.59 = 778.63 : x
  2. Step 2: Convert to fraction form
    903.01/1,348.59 = 778.63/x
  3. Step 3: Cross multiply
    903.01x = 1,348.59 × 778.63
  4. Step 4: Simplify right side
    903.01x = 1,050,052.63
  5. Step 5: Solve for x
    x = 1,050,052.63/903.01
  6. Step 6: Final answer
    x = 1,162.83

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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.