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Finding the Fourth Proportional to 645.84, 970.58 and 602.12

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Solution

The fourth proportional to 645.84, 970.58 and 602.12 is: 904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 970.58 = 602.12 : x
  2. Step 2: Convert to fraction form
    645.84/970.58 = 602.12/x
  3. Step 3: Cross multiply
    645.84x = 970.58 × 602.12
  4. Step 4: Simplify right side
    645.84x = 584,405.63
  5. Step 5: Solve for x
    x = 584,405.63/645.84
  6. Step 6: Final answer
    x = 904.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.