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Finding the Fourth Proportional to 977.90, 1,467.10 and 689.90

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Solution

The fourth proportional to 977.90, 1,467.10 and 689.90 is: 1,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.90 : 1,467.10 = 689.90 : x
  2. Step 2: Convert to fraction form
    977.90/1,467.10 = 689.90/x
  3. Step 3: Cross multiply
    977.90x = 1,467.10 × 689.90
  4. Step 4: Simplify right side
    977.90x = 1,012,152.29
  5. Step 5: Solve for x
    x = 1,012,152.29/977.90
  6. Step 6: Final answer
    x = 1,035.03

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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.