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Finding the Fourth Proportional to 770.13, 1,155.67 and 405.18

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Solution

The fourth proportional to 770.13, 1,155.67 and 405.18 is: 608.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.13 : 1,155.67 = 405.18 : x
  2. Step 2: Convert to fraction form
    770.13/1,155.67 = 405.18/x
  3. Step 3: Cross multiply
    770.13x = 1,155.67 × 405.18
  4. Step 4: Simplify right side
    770.13x = 468,252.34
  5. Step 5: Solve for x
    x = 468,252.34/770.13
  6. Step 6: Final answer
    x = 608.02

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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.