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Finding the Fourth Proportional to 555.71, 766.88 and 307.04

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Solution

The fourth proportional to 555.71, 766.88 and 307.04 is: 423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.71 : 766.88 = 307.04 : x
  2. Step 2: Convert to fraction form
    555.71/766.88 = 307.04/x
  3. Step 3: Cross multiply
    555.71x = 766.88 × 307.04
  4. Step 4: Simplify right side
    555.71x = 235,457.47
  5. Step 5: Solve for x
    x = 235,457.47/555.71
  6. Step 6: Final answer
    x = 423.71

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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.