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Finding the Fourth Proportional to 978.21, 1,466.91 and 561.87

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Solution

The fourth proportional to 978.21, 1,466.91 and 561.87 is: 842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.21 : 1,466.91 = 561.87 : x
  2. Step 2: Convert to fraction form
    978.21/1,466.91 = 561.87/x
  3. Step 3: Cross multiply
    978.21x = 1,466.91 × 561.87
  4. Step 4: Simplify right side
    978.21x = 824,212.72
  5. Step 5: Solve for x
    x = 824,212.72/978.21
  6. Step 6: Final answer
    x = 842.57

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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.