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Finding the Fourth Proportional to 650.76, 895.80 and 587.52

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Solution

The fourth proportional to 650.76, 895.80 and 587.52 is: 808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.76 : 895.80 = 587.52 : x
  2. Step 2: Convert to fraction form
    650.76/895.80 = 587.52/x
  3. Step 3: Cross multiply
    650.76x = 895.80 × 587.52
  4. Step 4: Simplify right side
    650.76x = 526,300.42
  5. Step 5: Solve for x
    x = 526,300.42/650.76
  6. Step 6: Final answer
    x = 808.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.