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Finding the Fourth Proportional to 1,758.30, 2,637.38 and 459.74

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Solution

The fourth proportional to 1,758.30, 2,637.38 and 459.74 is: 689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.30 : 2,637.38 = 459.74 : x
  2. Step 2: Convert to fraction form
    1,758.30/2,637.38 = 459.74/x
  3. Step 3: Cross multiply
    1,758.30x = 2,637.38 × 459.74
  4. Step 4: Simplify right side
    1,758.30x = 1,212,509.08
  5. Step 5: Solve for x
    x = 1,212,509.08/1,758.30
  6. Step 6: Final answer
    x = 689.59

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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.