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Finding the Fourth Proportional to 770.31, 1,063.02 and 421.00

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Solution

The fourth proportional to 770.31, 1,063.02 and 421.00 is: 580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.31 : 1,063.02 = 421.00 : x
  2. Step 2: Convert to fraction form
    770.31/1,063.02 = 421.00/x
  3. Step 3: Cross multiply
    770.31x = 1,063.02 × 421.00
  4. Step 4: Simplify right side
    770.31x = 447,526.10
  5. Step 5: Solve for x
    x = 447,526.10/770.31
  6. Step 6: Final answer
    x = 580.97

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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.