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Finding the Fourth Proportional to 487.21, 730.11 and 313.47

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Solution

The fourth proportional to 487.21, 730.11 and 313.47 is: 469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.21 : 730.11 = 313.47 : x
  2. Step 2: Convert to fraction form
    487.21/730.11 = 313.47/x
  3. Step 3: Cross multiply
    487.21x = 730.11 × 313.47
  4. Step 4: Simplify right side
    487.21x = 228,862.36
  5. Step 5: Solve for x
    x = 228,862.36/487.21
  6. Step 6: Final answer
    x = 469.74

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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.