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Finding the Fourth Proportional to 707.25, 975.95 and 392.48

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Solution

The fourth proportional to 707.25, 975.95 and 392.48 is: 541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.25 : 975.95 = 392.48 : x
  2. Step 2: Convert to fraction form
    707.25/975.95 = 392.48/x
  3. Step 3: Cross multiply
    707.25x = 975.95 × 392.48
  4. Step 4: Simplify right side
    707.25x = 383,034.01
  5. Step 5: Solve for x
    x = 383,034.01/707.25
  6. Step 6: Final answer
    x = 541.58

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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.