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Finding the Fourth Proportional to 770.99, 1,065.29 and 606.49

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Solution

The fourth proportional to 770.99, 1,065.29 and 606.49 is: 838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.99 : 1,065.29 = 606.49 : x
  2. Step 2: Convert to fraction form
    770.99/1,065.29 = 606.49/x
  3. Step 3: Cross multiply
    770.99x = 1,065.29 × 606.49
  4. Step 4: Simplify right side
    770.99x = 646,082.04
  5. Step 5: Solve for x
    x = 646,082.04/770.99
  6. Step 6: Final answer
    x = 838.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.