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Finding the Fourth Proportional to 1,490.61, 2,056.49 and 900.93

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Solution

The fourth proportional to 1,490.61, 2,056.49 and 900.93 is: 1,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.61 : 2,056.49 = 900.93 : x
  2. Step 2: Convert to fraction form
    1,490.61/2,056.49 = 900.93/x
  3. Step 3: Cross multiply
    1,490.61x = 2,056.49 × 900.93
  4. Step 4: Simplify right side
    1,490.61x = 1,852,753.54
  5. Step 5: Solve for x
    x = 1,852,753.54/1,490.61
  6. Step 6: Final answer
    x = 1,242.95

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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.