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Finding the Fourth Proportional to 508.01, 701.10 and 383.49

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Solution

The fourth proportional to 508.01, 701.10 and 383.49 is: 529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.01 : 701.10 = 383.49 : x
  2. Step 2: Convert to fraction form
    508.01/701.10 = 383.49/x
  3. Step 3: Cross multiply
    508.01x = 701.10 × 383.49
  4. Step 4: Simplify right side
    508.01x = 268,864.84
  5. Step 5: Solve for x
    x = 268,864.84/508.01
  6. Step 6: Final answer
    x = 529.26

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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.