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Finding the Fourth Proportional to 932.94, 1,392.50 and 816.30

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Solution

The fourth proportional to 932.94, 1,392.50 and 816.30 is: 1,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.94 : 1,392.50 = 816.30 : x
  2. Step 2: Convert to fraction form
    932.94/1,392.50 = 816.30/x
  3. Step 3: Cross multiply
    932.94x = 1,392.50 × 816.30
  4. Step 4: Simplify right side
    932.94x = 1,136,699.79
  5. Step 5: Solve for x
    x = 1,136,699.79/932.94
  6. Step 6: Final answer
    x = 1,218.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.