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Finding the Fourth Proportional to 555.22, 765.75 and 456.81

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Solution

The fourth proportional to 555.22, 765.75 and 456.81 is: 630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.22 : 765.75 = 456.81 : x
  2. Step 2: Convert to fraction form
    555.22/765.75 = 456.81/x
  3. Step 3: Cross multiply
    555.22x = 765.75 × 456.81
  4. Step 4: Simplify right side
    555.22x = 349,802.26
  5. Step 5: Solve for x
    x = 349,802.26/555.22
  6. Step 6: Final answer
    x = 630.02

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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.