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Finding the Fourth Proportional to 770.64, 1,151.58 and 729.60

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Solution

The fourth proportional to 770.64, 1,151.58 and 729.60 is: 1,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.64 : 1,151.58 = 729.60 : x
  2. Step 2: Convert to fraction form
    770.64/1,151.58 = 729.60/x
  3. Step 3: Cross multiply
    770.64x = 1,151.58 × 729.60
  4. Step 4: Simplify right side
    770.64x = 840,192.77
  5. Step 5: Solve for x
    x = 840,192.77/770.64
  6. Step 6: Final answer
    x = 1,090.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.