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Finding the Fourth Proportional to 770.25, 1,156.19 and 385.50

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Solution

The fourth proportional to 770.25, 1,156.19 and 385.50 is: 578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.25 : 1,156.19 = 385.50 : x
  2. Step 2: Convert to fraction form
    770.25/1,156.19 = 385.50/x
  3. Step 3: Cross multiply
    770.25x = 1,156.19 × 385.50
  4. Step 4: Simplify right side
    770.25x = 445,709.32
  5. Step 5: Solve for x
    x = 445,709.32/770.25
  6. Step 6: Final answer
    x = 578.66

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Double scale
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1.5x scale

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.