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Finding the Fourth Proportional to 770.64, 1,155.73 and 405.23

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Solution

The fourth proportional to 770.64, 1,155.73 and 405.23 is: 607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.64 : 1,155.73 = 405.23 : x
  2. Step 2: Convert to fraction form
    770.64/1,155.73 = 405.23/x
  3. Step 3: Cross multiply
    770.64x = 1,155.73 × 405.23
  4. Step 4: Simplify right side
    770.64x = 468,336.47
  5. Step 5: Solve for x
    x = 468,336.47/770.64
  6. Step 6: Final answer
    x = 607.72

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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.