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Finding the Fourth Proportional to 978.33, 1,465.67 and 587.91

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Solution

The fourth proportional to 978.33, 1,465.67 and 587.91 is: 880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.33 : 1,465.67 = 587.91 : x
  2. Step 2: Convert to fraction form
    978.33/1,465.67 = 587.91/x
  3. Step 3: Cross multiply
    978.33x = 1,465.67 × 587.91
  4. Step 4: Simplify right side
    978.33x = 861,682.05
  5. Step 5: Solve for x
    x = 861,682.05/978.33
  6. Step 6: Final answer
    x = 880.77

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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.