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Finding the Fourth Proportional to 707.02, 974.95 and 602.40

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Solution

The fourth proportional to 707.02, 974.95 and 602.40 is: 830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.02 : 974.95 = 602.40 : x
  2. Step 2: Convert to fraction form
    707.02/974.95 = 602.40/x
  3. Step 3: Cross multiply
    707.02x = 974.95 × 602.40
  4. Step 4: Simplify right side
    707.02x = 587,309.88
  5. Step 5: Solve for x
    x = 587,309.88/707.02
  6. Step 6: Final answer
    x = 830.68

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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.