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Finding the Fourth Proportional to 770.09, 1,063.22 and 592.70

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Solution

The fourth proportional to 770.09, 1,063.22 and 592.70 is: 818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.09 : 1,063.22 = 592.70 : x
  2. Step 2: Convert to fraction form
    770.09/1,063.22 = 592.70/x
  3. Step 3: Cross multiply
    770.09x = 1,063.22 × 592.70
  4. Step 4: Simplify right side
    770.09x = 630,162.21
  5. Step 5: Solve for x
    x = 630,162.21/770.09
  6. Step 6: Final answer
    x = 818.30

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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.