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Finding the Fourth Proportional to 633.90, 946.18 and 587.58

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Solution

The fourth proportional to 633.90, 946.18 and 587.58 is: 877.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.90 : 946.18 = 587.58 : x
  2. Step 2: Convert to fraction form
    633.90/946.18 = 587.58/x
  3. Step 3: Cross multiply
    633.90x = 946.18 × 587.58
  4. Step 4: Simplify right side
    633.90x = 555,956.44
  5. Step 5: Solve for x
    x = 555,956.44/633.90
  6. Step 6: Final answer
    x = 877.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.