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Finding the Fourth Proportional to 491.08, 740.15 and 423.42

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Solution

The fourth proportional to 491.08, 740.15 and 423.42 is: 638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.08 : 740.15 = 423.42 : x
  2. Step 2: Convert to fraction form
    491.08/740.15 = 423.42/x
  3. Step 3: Cross multiply
    491.08x = 740.15 × 423.42
  4. Step 4: Simplify right side
    491.08x = 313,388.50
  5. Step 5: Solve for x
    x = 313,388.50/491.08
  6. Step 6: Final answer
    x = 638.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.