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Finding the Fourth Proportional to 1,758.34, 2,637.90 and 588.40

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Solution

The fourth proportional to 1,758.34, 2,637.90 and 588.40 is: 882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.34 : 2,637.90 = 588.40 : x
  2. Step 2: Convert to fraction form
    1,758.34/2,637.90 = 588.40/x
  3. Step 3: Cross multiply
    1,758.34x = 2,637.90 × 588.40
  4. Step 4: Simplify right side
    1,758.34x = 1,552,140.36
  5. Step 5: Solve for x
    x = 1,552,140.36/1,758.34
  6. Step 6: Final answer
    x = 882.73

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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.