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Finding the Fourth Proportional to 1,544.67, 2,317.10 and 678.87

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Solution

The fourth proportional to 1,544.67, 2,317.10 and 678.87 is: 1,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.67 : 2,317.10 = 678.87 : x
  2. Step 2: Convert to fraction form
    1,544.67/2,317.10 = 678.87/x
  3. Step 3: Cross multiply
    1,544.67x = 2,317.10 × 678.87
  4. Step 4: Simplify right side
    1,544.67x = 1,573,006.28
  5. Step 5: Solve for x
    x = 1,573,006.28/1,544.67
  6. Step 6: Final answer
    x = 1,018.34

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1.5x scale

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.