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Finding the Fourth Proportional to 1,259.40, 1,887.18 and 847.01

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Solution

The fourth proportional to 1,259.40, 1,887.18 and 847.01 is: 1,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.40 : 1,887.18 = 847.01 : x
  2. Step 2: Convert to fraction form
    1,259.40/1,887.18 = 847.01/x
  3. Step 3: Cross multiply
    1,259.40x = 1,887.18 × 847.01
  4. Step 4: Simplify right side
    1,259.40x = 1,598,456.10
  5. Step 5: Solve for x
    x = 1,598,456.10/1,259.40
  6. Step 6: Final answer
    x = 1,269.22

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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.