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Finding the Fourth Proportional to 1,601.61, 2,210.25 and 902.98

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Solution

The fourth proportional to 1,601.61, 2,210.25 and 902.98 is: 1,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.61 : 2,210.25 = 902.98 : x
  2. Step 2: Convert to fraction form
    1,601.61/2,210.25 = 902.98/x
  3. Step 3: Cross multiply
    1,601.61x = 2,210.25 × 902.98
  4. Step 4: Simplify right side
    1,601.61x = 1,995,811.55
  5. Step 5: Solve for x
    x = 1,995,811.55/1,601.61
  6. Step 6: Final answer
    x = 1,246.13

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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.