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Finding the Fourth Proportional to 529.04, 729.81 and 360.87

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Solution

The fourth proportional to 529.04, 729.81 and 360.87 is: 497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.04 : 729.81 = 360.87 : x
  2. Step 2: Convert to fraction form
    529.04/729.81 = 360.87/x
  3. Step 3: Cross multiply
    529.04x = 729.81 × 360.87
  4. Step 4: Simplify right side
    529.04x = 263,363.80
  5. Step 5: Solve for x
    x = 263,363.80/529.04
  6. Step 6: Final answer
    x = 497.81

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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.