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Finding the Fourth Proportional to 936.48, 1,292.40 and 780.96

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Solution

The fourth proportional to 936.48, 1,292.40 and 780.96 is: 1,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.48 : 1,292.40 = 780.96 : x
  2. Step 2: Convert to fraction form
    936.48/1,292.40 = 780.96/x
  3. Step 3: Cross multiply
    936.48x = 1,292.40 × 780.96
  4. Step 4: Simplify right side
    936.48x = 1,009,312.70
  5. Step 5: Solve for x
    x = 1,009,312.70/936.48
  6. Step 6: Final answer
    x = 1,077.77

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1.5x scale

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.