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Finding the Fourth Proportional to 529.96, 729.30 and 526.81

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Solution

The fourth proportional to 529.96, 729.30 and 526.81 is: 724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.96 : 729.30 = 526.81 : x
  2. Step 2: Convert to fraction form
    529.96/729.30 = 526.81/x
  3. Step 3: Cross multiply
    529.96x = 729.30 × 526.81
  4. Step 4: Simplify right side
    529.96x = 384,202.53
  5. Step 5: Solve for x
    x = 384,202.53/529.96
  6. Step 6: Final answer
    x = 724.97

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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.