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Finding the Fourth Proportional to 1,257.32, 1,886.61 and 526.88

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Solution

The fourth proportional to 1,257.32, 1,886.61 and 526.88 is: 790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.32 : 1,886.61 = 526.88 : x
  2. Step 2: Convert to fraction form
    1,257.32/1,886.61 = 526.88/x
  3. Step 3: Cross multiply
    1,257.32x = 1,886.61 × 526.88
  4. Step 4: Simplify right side
    1,257.32x = 994,017.08
  5. Step 5: Solve for x
    x = 994,017.08/1,257.32
  6. Step 6: Final answer
    x = 790.58

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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.