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Finding the Fourth Proportional to 986.34, 1,479.07 and 524.00

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Solution

The fourth proportional to 986.34, 1,479.07 and 524.00 is: 785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.34 : 1,479.07 = 524.00 : x
  2. Step 2: Convert to fraction form
    986.34/1,479.07 = 524.00/x
  3. Step 3: Cross multiply
    986.34x = 1,479.07 × 524.00
  4. Step 4: Simplify right side
    986.34x = 775,037.03
  5. Step 5: Solve for x
    x = 775,037.03/986.34
  6. Step 6: Final answer
    x = 785.77

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