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Finding the Fourth Proportional to 979.64, 1,470.21 and 363.93

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Solution

The fourth proportional to 979.64, 1,470.21 and 363.93 is: 546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.64 : 1,470.21 = 363.93 : x
  2. Step 2: Convert to fraction form
    979.64/1,470.21 = 363.93/x
  3. Step 3: Cross multiply
    979.64x = 1,470.21 × 363.93
  4. Step 4: Simplify right side
    979.64x = 535,053.53
  5. Step 5: Solve for x
    x = 535,053.53/979.64
  6. Step 6: Final answer
    x = 546.17

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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.