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Finding the Fourth Proportional to 707.13, 975.49 and 458.59

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Solution

The fourth proportional to 707.13, 975.49 and 458.59 is: 632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.13 : 975.49 = 458.59 : x
  2. Step 2: Convert to fraction form
    707.13/975.49 = 458.59/x
  3. Step 3: Cross multiply
    707.13x = 975.49 × 458.59
  4. Step 4: Simplify right side
    707.13x = 447,348.04
  5. Step 5: Solve for x
    x = 447,348.04/707.13
  6. Step 6: Final answer
    x = 632.62

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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.