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Finding the Fourth Proportional to 770.54, 1,064.51 and 505.61

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Solution

The fourth proportional to 770.54, 1,064.51 and 505.61 is: 698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.54 : 1,064.51 = 505.61 : x
  2. Step 2: Convert to fraction form
    770.54/1,064.51 = 505.61/x
  3. Step 3: Cross multiply
    770.54x = 1,064.51 × 505.61
  4. Step 4: Simplify right side
    770.54x = 538,226.90
  5. Step 5: Solve for x
    x = 538,226.90/770.54
  6. Step 6: Final answer
    x = 698.51

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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.