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Finding the Fourth Proportional to 611.51, 920.34 and 458.26

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Solution

The fourth proportional to 611.51, 920.34 and 458.26 is: 689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.51 : 920.34 = 458.26 : x
  2. Step 2: Convert to fraction form
    611.51/920.34 = 458.26/x
  3. Step 3: Cross multiply
    611.51x = 920.34 × 458.26
  4. Step 4: Simplify right side
    611.51x = 421,752.71
  5. Step 5: Solve for x
    x = 421,752.71/611.51
  6. Step 6: Final answer
    x = 689.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.