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Finding the Fourth Proportional to 529.29, 729.45 and 381.67

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Solution

The fourth proportional to 529.29, 729.45 and 381.67 is: 526.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.29 : 729.45 = 381.67 : x
  2. Step 2: Convert to fraction form
    529.29/729.45 = 381.67/x
  3. Step 3: Cross multiply
    529.29x = 729.45 × 381.67
  4. Step 4: Simplify right side
    529.29x = 278,407.36
  5. Step 5: Solve for x
    x = 278,407.36/529.29
  6. Step 6: Final answer
    x = 526.00

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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.