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Finding the Fourth Proportional to 770.16, 1,062.99 and 605.13

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Solution

The fourth proportional to 770.16, 1,062.99 and 605.13 is: 835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.16 : 1,062.99 = 605.13 : x
  2. Step 2: Convert to fraction form
    770.16/1,062.99 = 605.13/x
  3. Step 3: Cross multiply
    770.16x = 1,062.99 × 605.13
  4. Step 4: Simplify right side
    770.16x = 643,247.14
  5. Step 5: Solve for x
    x = 643,247.14/770.16
  6. Step 6: Final answer
    x = 835.21

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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.