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Finding the Fourth Proportional to 770.01, 1,153.53 and 614.11

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Solution

The fourth proportional to 770.01, 1,153.53 and 614.11 is: 919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.01 : 1,153.53 = 614.11 : x
  2. Step 2: Convert to fraction form
    770.01/1,153.53 = 614.11/x
  3. Step 3: Cross multiply
    770.01x = 1,153.53 × 614.11
  4. Step 4: Simplify right side
    770.01x = 708,389.48
  5. Step 5: Solve for x
    x = 708,389.48/770.01
  6. Step 6: Final answer
    x = 919.98

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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.