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Finding the Fourth Proportional to 770.07, 1,063.21 and 592.71

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Solution

The fourth proportional to 770.07, 1,063.21 and 592.71 is: 818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.07 : 1,063.21 = 592.71 : x
  2. Step 2: Convert to fraction form
    770.07/1,063.21 = 592.71/x
  3. Step 3: Cross multiply
    770.07x = 1,063.21 × 592.71
  4. Step 4: Simplify right side
    770.07x = 630,175.20
  5. Step 5: Solve for x
    x = 630,175.20/770.07
  6. Step 6: Final answer
    x = 818.33

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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.