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Finding the Fourth Proportional to 985.75, 1,476.93 and 619.63

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Solution

The fourth proportional to 985.75, 1,476.93 and 619.63 is: 928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.75 : 1,476.93 = 619.63 : x
  2. Step 2: Convert to fraction form
    985.75/1,476.93 = 619.63/x
  3. Step 3: Cross multiply
    985.75x = 1,476.93 × 619.63
  4. Step 4: Simplify right side
    985.75x = 915,150.14
  5. Step 5: Solve for x
    x = 915,150.14/985.75
  6. Step 6: Final answer
    x = 928.38

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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.