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Finding the Fourth Proportional to 770.91, 1,064.28 and 509.38

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Solution

The fourth proportional to 770.91, 1,064.28 and 509.38 is: 703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.91 : 1,064.28 = 509.38 : x
  2. Step 2: Convert to fraction form
    770.91/1,064.28 = 509.38/x
  3. Step 3: Cross multiply
    770.91x = 1,064.28 × 509.38
  4. Step 4: Simplify right side
    770.91x = 542,122.95
  5. Step 5: Solve for x
    x = 542,122.95/770.91
  6. Step 6: Final answer
    x = 703.22

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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.