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Finding the Fourth Proportional to 770.04, 1,062.86 and 471.39

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Solution

The fourth proportional to 770.04, 1,062.86 and 471.39 is: 650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.04 : 1,062.86 = 471.39 : x
  2. Step 2: Convert to fraction form
    770.04/1,062.86 = 471.39/x
  3. Step 3: Cross multiply
    770.04x = 1,062.86 × 471.39
  4. Step 4: Simplify right side
    770.04x = 501,015.23
  5. Step 5: Solve for x
    x = 501,015.23/770.04
  6. Step 6: Final answer
    x = 650.64

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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.