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Finding the Fourth Proportional to 1,787.56, 2,681.75 and 555.01

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Solution

The fourth proportional to 1,787.56, 2,681.75 and 555.01 is: 832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.56 : 2,681.75 = 555.01 : x
  2. Step 2: Convert to fraction form
    1,787.56/2,681.75 = 555.01/x
  3. Step 3: Cross multiply
    1,787.56x = 2,681.75 × 555.01
  4. Step 4: Simplify right side
    1,787.56x = 1,488,398.07
  5. Step 5: Solve for x
    x = 1,488,398.07/1,787.56
  6. Step 6: Final answer
    x = 832.64

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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.