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Finding the Fourth Proportional to 1,254.10, 1,877.10 and 978.70

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Solution

The fourth proportional to 1,254.10, 1,877.10 and 978.70 is: 1,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.10 : 1,877.10 = 978.70 : x
  2. Step 2: Convert to fraction form
    1,254.10/1,877.10 = 978.70/x
  3. Step 3: Cross multiply
    1,254.10x = 1,877.10 × 978.70
  4. Step 4: Simplify right side
    1,254.10x = 1,837,117.77
  5. Step 5: Solve for x
    x = 1,837,117.77/1,254.10
  6. Step 6: Final answer
    x = 1,464.89

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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.