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Finding the Fourth Proportional to 1,758.69, 2,637.29 and 526.08

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Solution

The fourth proportional to 1,758.69, 2,637.29 and 526.08 is: 788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.69 : 2,637.29 = 526.08 : x
  2. Step 2: Convert to fraction form
    1,758.69/2,637.29 = 526.08/x
  3. Step 3: Cross multiply
    1,758.69x = 2,637.29 × 526.08
  4. Step 4: Simplify right side
    1,758.69x = 1,387,422.89
  5. Step 5: Solve for x
    x = 1,387,422.89/1,758.69
  6. Step 6: Final answer
    x = 788.90

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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.