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Finding the Fourth Proportional to 474.76, 654.70 and 363.02

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Solution

The fourth proportional to 474.76, 654.70 and 363.02 is: 500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.76 : 654.70 = 363.02 : x
  2. Step 2: Convert to fraction form
    474.76/654.70 = 363.02/x
  3. Step 3: Cross multiply
    474.76x = 654.70 × 363.02
  4. Step 4: Simplify right side
    474.76x = 237,669.19
  5. Step 5: Solve for x
    x = 237,669.19/474.76
  6. Step 6: Final answer
    x = 500.61

Related Problems

Find fourth proportional to 237.38, 327.35 and 181.51
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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.