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Finding the Fourth Proportional to 770.65, 1,155.18 and 441.16

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Solution

The fourth proportional to 770.65, 1,155.18 and 441.16 is: 661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.65 : 1,155.18 = 441.16 : x
  2. Step 2: Convert to fraction form
    770.65/1,155.18 = 441.16/x
  3. Step 3: Cross multiply
    770.65x = 1,155.18 × 441.16
  4. Step 4: Simplify right side
    770.65x = 509,619.21
  5. Step 5: Solve for x
    x = 509,619.21/770.65
  6. Step 6: Final answer
    x = 661.28

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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.