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Finding the Fourth Proportional to 706.79, 975.32 and 392.04

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Solution

The fourth proportional to 706.79, 975.32 and 392.04 is: 540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.79 : 975.32 = 392.04 : x
  2. Step 2: Convert to fraction form
    706.79/975.32 = 392.04/x
  3. Step 3: Cross multiply
    706.79x = 975.32 × 392.04
  4. Step 4: Simplify right side
    706.79x = 382,362.26
  5. Step 5: Solve for x
    x = 382,362.26/706.79
  6. Step 6: Final answer
    x = 540.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.