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Finding the Fourth Proportional to 929.07, 1,394.01 and 842.40

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Solution

The fourth proportional to 929.07, 1,394.01 and 842.40 is: 1,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.07 : 1,394.01 = 842.40 : x
  2. Step 2: Convert to fraction form
    929.07/1,394.01 = 842.40/x
  3. Step 3: Cross multiply
    929.07x = 1,394.01 × 842.40
  4. Step 4: Simplify right side
    929.07x = 1,174,314.02
  5. Step 5: Solve for x
    x = 1,174,314.02/929.07
  6. Step 6: Final answer
    x = 1,263.97

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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.