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Finding the Fourth Proportional to 469.33, 647.30 and 358.63

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Solution

The fourth proportional to 469.33, 647.30 and 358.63 is: 494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.33 : 647.30 = 358.63 : x
  2. Step 2: Convert to fraction form
    469.33/647.30 = 358.63/x
  3. Step 3: Cross multiply
    469.33x = 647.30 × 358.63
  4. Step 4: Simplify right side
    469.33x = 232,139.41
  5. Step 5: Solve for x
    x = 232,139.41/469.33
  6. Step 6: Final answer
    x = 494.62

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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.