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Finding the Fourth Proportional to 957.58, 1,435.39 and 545.87

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Solution

The fourth proportional to 957.58, 1,435.39 and 545.87 is: 818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.58 : 1,435.39 = 545.87 : x
  2. Step 2: Convert to fraction form
    957.58/1,435.39 = 545.87/x
  3. Step 3: Cross multiply
    957.58x = 1,435.39 × 545.87
  4. Step 4: Simplify right side
    957.58x = 783,536.34
  5. Step 5: Solve for x
    x = 783,536.34/957.58
  6. Step 6: Final answer
    x = 818.25

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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.