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Finding the Fourth Proportional to 770.64, 1,064.52 and 734.19

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Solution

The fourth proportional to 770.64, 1,064.52 and 734.19 is: 1,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.64 : 1,064.52 = 734.19 : x
  2. Step 2: Convert to fraction form
    770.64/1,064.52 = 734.19/x
  3. Step 3: Cross multiply
    770.64x = 1,064.52 × 734.19
  4. Step 4: Simplify right side
    770.64x = 781,559.94
  5. Step 5: Solve for x
    x = 781,559.94/770.64
  6. Step 6: Final answer
    x = 1,014.17

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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.