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Finding the Fourth Proportional to 1,650.50, 2,277.70 and 904.46

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Solution

The fourth proportional to 1,650.50, 2,277.70 and 904.46 is: 1,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.50 : 2,277.70 = 904.46 : x
  2. Step 2: Convert to fraction form
    1,650.50/2,277.70 = 904.46/x
  3. Step 3: Cross multiply
    1,650.50x = 2,277.70 × 904.46
  4. Step 4: Simplify right side
    1,650.50x = 2,060,088.54
  5. Step 5: Solve for x
    x = 2,060,088.54/1,650.50
  6. Step 6: Final answer
    x = 1,248.16

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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.