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Finding the Fourth Proportional to 772.98, 1,066.71 and 458.46

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Solution

The fourth proportional to 772.98, 1,066.71 and 458.46 is: 632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.98 : 1,066.71 = 458.46 : x
  2. Step 2: Convert to fraction form
    772.98/1,066.71 = 458.46/x
  3. Step 3: Cross multiply
    772.98x = 1,066.71 × 458.46
  4. Step 4: Simplify right side
    772.98x = 489,043.87
  5. Step 5: Solve for x
    x = 489,043.87/772.98
  6. Step 6: Final answer
    x = 632.67

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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.