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Finding the Fourth Proportional to 469.26, 647.98 and 386.24

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Solution

The fourth proportional to 469.26, 647.98 and 386.24 is: 533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.26 : 647.98 = 386.24 : x
  2. Step 2: Convert to fraction form
    469.26/647.98 = 386.24/x
  3. Step 3: Cross multiply
    469.26x = 647.98 × 386.24
  4. Step 4: Simplify right side
    469.26x = 250,275.80
  5. Step 5: Solve for x
    x = 250,275.80/469.26
  6. Step 6: Final answer
    x = 533.34

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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.