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Finding the Fourth Proportional to 1,490.95, 2,236.25 and 668.77

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Solution

The fourth proportional to 1,490.95, 2,236.25 and 668.77 is: 1,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.95 : 2,236.25 = 668.77 : x
  2. Step 2: Convert to fraction form
    1,490.95/2,236.25 = 668.77/x
  3. Step 3: Cross multiply
    1,490.95x = 2,236.25 × 668.77
  4. Step 4: Simplify right side
    1,490.95x = 1,495,543.69
  5. Step 5: Solve for x
    x = 1,495,543.69/1,490.95
  6. Step 6: Final answer
    x = 1,003.08

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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.