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Finding the Fourth Proportional to 1,557.20, 2,333.36 and 978.86

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Solution

The fourth proportional to 1,557.20, 2,333.36 and 978.86 is: 1,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.20 : 2,333.36 = 978.86 : x
  2. Step 2: Convert to fraction form
    1,557.20/2,333.36 = 978.86/x
  3. Step 3: Cross multiply
    1,557.20x = 2,333.36 × 978.86
  4. Step 4: Simplify right side
    1,557.20x = 2,284,032.77
  5. Step 5: Solve for x
    x = 2,284,032.77/1,557.20
  6. Step 6: Final answer
    x = 1,466.76

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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.