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Finding the Fourth Proportional to 770.02, 1,062.63 and 438.37

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Solution

The fourth proportional to 770.02, 1,062.63 and 438.37 is: 604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.02 : 1,062.63 = 438.37 : x
  2. Step 2: Convert to fraction form
    770.02/1,062.63 = 438.37/x
  3. Step 3: Cross multiply
    770.02x = 1,062.63 × 438.37
  4. Step 4: Simplify right side
    770.02x = 465,825.11
  5. Step 5: Solve for x
    x = 465,825.11/770.02
  6. Step 6: Final answer
    x = 604.95

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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.