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Finding the Fourth Proportional to 770.51, 1,063.33 and 471.72

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Solution

The fourth proportional to 770.51, 1,063.33 and 471.72 is: 650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.51 : 1,063.33 = 471.72 : x
  2. Step 2: Convert to fraction form
    770.51/1,063.33 = 471.72/x
  3. Step 3: Cross multiply
    770.51x = 1,063.33 × 471.72
  4. Step 4: Simplify right side
    770.51x = 501,596.84
  5. Step 5: Solve for x
    x = 501,596.84/770.51
  6. Step 6: Final answer
    x = 650.99

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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.