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Finding the Fourth Proportional to 707.42, 976.14 and 392.64

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Solution

The fourth proportional to 707.42, 976.14 and 392.64 is: 541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.42 : 976.14 = 392.64 : x
  2. Step 2: Convert to fraction form
    707.42/976.14 = 392.64/x
  3. Step 3: Cross multiply
    707.42x = 976.14 × 392.64
  4. Step 4: Simplify right side
    707.42x = 383,271.61
  5. Step 5: Solve for x
    x = 383,271.61/707.42
  6. Step 6: Final answer
    x = 541.79

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Why These Related Problems?

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