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Finding the Fourth Proportional to 1,011.83, 1,518.22 and 524.62

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Solution

The fourth proportional to 1,011.83, 1,518.22 and 524.62 is: 787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.83 : 1,518.22 = 524.62 : x
  2. Step 2: Convert to fraction form
    1,011.83/1,518.22 = 524.62/x
  3. Step 3: Cross multiply
    1,011.83x = 1,518.22 × 524.62
  4. Step 4: Simplify right side
    1,011.83x = 796,479.67
  5. Step 5: Solve for x
    x = 796,479.67/1,011.83
  6. Step 6: Final answer
    x = 787.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.