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Finding the Fourth Proportional to 770.58, 1,153.17 and 700.56

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Solution

The fourth proportional to 770.58, 1,153.17 and 700.56 is: 1,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.58 : 1,153.17 = 700.56 : x
  2. Step 2: Convert to fraction form
    770.58/1,153.17 = 700.56/x
  3. Step 3: Cross multiply
    770.58x = 1,153.17 × 700.56
  4. Step 4: Simplify right side
    770.58x = 807,864.78
  5. Step 5: Solve for x
    x = 807,864.78/770.58
  6. Step 6: Final answer
    x = 1,048.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.