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Finding the Fourth Proportional to 491, 675.87 and 424.58

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Solution

The fourth proportional to 491, 675.87 and 424.58 is: 584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491 : 675.87 = 424.58 : x
  2. Step 2: Convert to fraction form
    491/675.87 = 424.58/x
  3. Step 3: Cross multiply
    491x = 675.87 × 424.58
  4. Step 4: Simplify right side
    491x = 286,960.88
  5. Step 5: Solve for x
    x = 286,960.88/491
  6. Step 6: Final answer
    x = 584.44

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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.