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Finding the Fourth Proportional to 707.79, 975.72 and 497.32

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Solution

The fourth proportional to 707.79, 975.72 and 497.32 is: 685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.79 : 975.72 = 497.32 : x
  2. Step 2: Convert to fraction form
    707.79/975.72 = 497.32/x
  3. Step 3: Cross multiply
    707.79x = 975.72 × 497.32
  4. Step 4: Simplify right side
    707.79x = 485,245.07
  5. Step 5: Solve for x
    x = 485,245.07/707.79
  6. Step 6: Final answer
    x = 685.58

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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.