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Finding the Fourth Proportional to 1,175.30, 1,760.51 and 526.49

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Solution

The fourth proportional to 1,175.30, 1,760.51 and 526.49 is: 788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.30 : 1,760.51 = 526.49 : x
  2. Step 2: Convert to fraction form
    1,175.30/1,760.51 = 526.49/x
  3. Step 3: Cross multiply
    1,175.30x = 1,760.51 × 526.49
  4. Step 4: Simplify right side
    1,175.30x = 926,890.91
  5. Step 5: Solve for x
    x = 926,890.91/1,175.30
  6. Step 6: Final answer
    x = 788.64

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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.