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Finding the Fourth Proportional to 991, 1,485.80 and 503.72

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Solution

The fourth proportional to 991, 1,485.80 and 503.72 is: 755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    991 : 1,485.80 = 503.72 : x
  2. Step 2: Convert to fraction form
    991/1,485.80 = 503.72/x
  3. Step 3: Cross multiply
    991x = 1,485.80 × 503.72
  4. Step 4: Simplify right side
    991x = 748,427.18
  5. Step 5: Solve for x
    x = 748,427.18/991
  6. Step 6: Final answer
    x = 755.22

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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.