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Finding the Fourth Proportional to 957.89, 1,434.51 and 545.79

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Solution

The fourth proportional to 957.89, 1,434.51 and 545.79 is: 817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.89 : 1,434.51 = 545.79 : x
  2. Step 2: Convert to fraction form
    957.89/1,434.51 = 545.79/x
  3. Step 3: Cross multiply
    957.89x = 1,434.51 × 545.79
  4. Step 4: Simplify right side
    957.89x = 782,938.52
  5. Step 5: Solve for x
    x = 782,938.52/957.89
  6. Step 6: Final answer
    x = 817.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.