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Finding the Fourth Proportional to 959.78, 1,440.05 and 776.40

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Solution

The fourth proportional to 959.78, 1,440.05 and 776.40 is: 1,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.78 : 1,440.05 = 776.40 : x
  2. Step 2: Convert to fraction form
    959.78/1,440.05 = 776.40/x
  3. Step 3: Cross multiply
    959.78x = 1,440.05 × 776.40
  4. Step 4: Simplify right side
    959.78x = 1,118,043.74
  5. Step 5: Solve for x
    x = 1,118,043.74/959.78
  6. Step 6: Final answer
    x = 1,164.90

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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.