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Finding the Fourth Proportional to 587.93, 880.84 and 491.06

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Solution

The fourth proportional to 587.93, 880.84 and 491.06 is: 735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.93 : 880.84 = 491.06 : x
  2. Step 2: Convert to fraction form
    587.93/880.84 = 491.06/x
  3. Step 3: Cross multiply
    587.93x = 880.84 × 491.06
  4. Step 4: Simplify right side
    587.93x = 432,548.11
  5. Step 5: Solve for x
    x = 432,548.11/587.93
  6. Step 6: Final answer
    x = 735.72

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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.