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Finding the Fourth Proportional to 555.25, 766.31 and 407.93

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Solution

The fourth proportional to 555.25, 766.31 and 407.93 is: 562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.25 : 766.31 = 407.93 : x
  2. Step 2: Convert to fraction form
    555.25/766.31 = 407.93/x
  3. Step 3: Cross multiply
    555.25x = 766.31 × 407.93
  4. Step 4: Simplify right side
    555.25x = 312,598.80
  5. Step 5: Solve for x
    x = 312,598.80/555.25
  6. Step 6: Final answer
    x = 562.99

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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.