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Finding the Fourth Proportional to 770.15, 1,062.80 and 420.84

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Solution

The fourth proportional to 770.15, 1,062.80 and 420.84 is: 580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.15 : 1,062.80 = 420.84 : x
  2. Step 2: Convert to fraction form
    770.15/1,062.80 = 420.84/x
  3. Step 3: Cross multiply
    770.15x = 1,062.80 × 420.84
  4. Step 4: Simplify right side
    770.15x = 447,265.82
  5. Step 5: Solve for x
    x = 447,265.82/770.15
  6. Step 6: Final answer
    x = 580.75

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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.