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Finding the Fourth Proportional to 652.27, 900.29 and 386.72

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Solution

The fourth proportional to 652.27, 900.29 and 386.72 is: 533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.27 : 900.29 = 386.72 : x
  2. Step 2: Convert to fraction form
    652.27/900.29 = 386.72/x
  3. Step 3: Cross multiply
    652.27x = 900.29 × 386.72
  4. Step 4: Simplify right side
    652.27x = 348,160.15
  5. Step 5: Solve for x
    x = 348,160.15/652.27
  6. Step 6: Final answer
    x = 533.77

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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.