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Finding the Fourth Proportional to 706.79, 975.58 and 458.13

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Solution

The fourth proportional to 706.79, 975.58 and 458.13 is: 632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.79 : 975.58 = 458.13 : x
  2. Step 2: Convert to fraction form
    706.79/975.58 = 458.13/x
  3. Step 3: Cross multiply
    706.79x = 975.58 × 458.13
  4. Step 4: Simplify right side
    706.79x = 446,942.47
  5. Step 5: Solve for x
    x = 446,942.47/706.79
  6. Step 6: Final answer
    x = 632.36

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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.