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Finding the Fourth Proportional to 770.99, 1,063.77 and 472.40

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Solution

The fourth proportional to 770.99, 1,063.77 and 472.40 is: 651.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.99 : 1,063.77 = 472.40 : x
  2. Step 2: Convert to fraction form
    770.99/1,063.77 = 472.40/x
  3. Step 3: Cross multiply
    770.99x = 1,063.77 × 472.40
  4. Step 4: Simplify right side
    770.99x = 502,521.85
  5. Step 5: Solve for x
    x = 502,521.85/770.99
  6. Step 6: Final answer
    x = 651.79

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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.