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Finding the Fourth Proportional to 770.30, 1,154.80 and 359.22

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Solution

The fourth proportional to 770.30, 1,154.80 and 359.22 is: 538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.30 : 1,154.80 = 359.22 : x
  2. Step 2: Convert to fraction form
    770.30/1,154.80 = 359.22/x
  3. Step 3: Cross multiply
    770.30x = 1,154.80 × 359.22
  4. Step 4: Simplify right side
    770.30x = 414,827.26
  5. Step 5: Solve for x
    x = 414,827.26/770.30
  6. Step 6: Final answer
    x = 538.53

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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.