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Finding the Fourth Proportional to 1,228.49, 1,840.30 and 577.25

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Solution

The fourth proportional to 1,228.49, 1,840.30 and 577.25 is: 864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.49 : 1,840.30 = 577.25 : x
  2. Step 2: Convert to fraction form
    1,228.49/1,840.30 = 577.25/x
  3. Step 3: Cross multiply
    1,228.49x = 1,840.30 × 577.25
  4. Step 4: Simplify right side
    1,228.49x = 1,062,302.53
  5. Step 5: Solve for x
    x = 1,062,302.53/1,228.49
  6. Step 6: Final answer
    x = 864.73

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1.5x scale

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.