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Finding the Fourth Proportional to 991.29, 1,485.72 and 529.19

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Solution

The fourth proportional to 991.29, 1,485.72 and 529.19 is: 793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.29 : 1,485.72 = 529.19 : x
  2. Step 2: Convert to fraction form
    991.29/1,485.72 = 529.19/x
  3. Step 3: Cross multiply
    991.29x = 1,485.72 × 529.19
  4. Step 4: Simplify right side
    991.29x = 786,220.74
  5. Step 5: Solve for x
    x = 786,220.74/991.29
  6. Step 6: Final answer
    x = 793.13

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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.