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Finding the Fourth Proportional to 770.82, 1,064.03 and 509.46

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Solution

The fourth proportional to 770.82, 1,064.03 and 509.46 is: 703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.82 : 1,064.03 = 509.46 : x
  2. Step 2: Convert to fraction form
    770.82/1,064.03 = 509.46/x
  3. Step 3: Cross multiply
    770.82x = 1,064.03 × 509.46
  4. Step 4: Simplify right side
    770.82x = 542,080.72
  5. Step 5: Solve for x
    x = 542,080.72/770.82
  6. Step 6: Final answer
    x = 703.25

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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.