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Finding the Fourth Proportional to 508.50, 701.51 and 390.27

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Solution

The fourth proportional to 508.50, 701.51 and 390.27 is: 538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.50 : 701.51 = 390.27 : x
  2. Step 2: Convert to fraction form
    508.50/701.51 = 390.27/x
  3. Step 3: Cross multiply
    508.50x = 701.51 × 390.27
  4. Step 4: Simplify right side
    508.50x = 273,777.24
  5. Step 5: Solve for x
    x = 273,777.24/508.50
  6. Step 6: Final answer
    x = 538.40

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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.