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Finding the Fourth Proportional to 830.11, 1,242.42 and 503.88

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Solution

The fourth proportional to 830.11, 1,242.42 and 503.88 is: 754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.11 : 1,242.42 = 503.88 : x
  2. Step 2: Convert to fraction form
    830.11/1,242.42 = 503.88/x
  3. Step 3: Cross multiply
    830.11x = 1,242.42 × 503.88
  4. Step 4: Simplify right side
    830.11x = 626,030.59
  5. Step 5: Solve for x
    x = 626,030.59/830.11
  6. Step 6: Final answer
    x = 754.15

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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.