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Finding the Fourth Proportional to 707.58, 975.78 and 602.55

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Solution

The fourth proportional to 707.58, 975.78 and 602.55 is: 830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.58 : 975.78 = 602.55 : x
  2. Step 2: Convert to fraction form
    707.58/975.78 = 602.55/x
  3. Step 3: Cross multiply
    707.58x = 975.78 × 602.55
  4. Step 4: Simplify right side
    707.58x = 587,956.24
  5. Step 5: Solve for x
    x = 587,956.24/707.58
  6. Step 6: Final answer
    x = 830.94

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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.