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Finding the Fourth Proportional to 1,200.07, 1,656.04 and 846.13

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Solution

The fourth proportional to 1,200.07, 1,656.04 and 846.13 is: 1,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.07 : 1,656.04 = 846.13 : x
  2. Step 2: Convert to fraction form
    1,200.07/1,656.04 = 846.13/x
  3. Step 3: Cross multiply
    1,200.07x = 1,656.04 × 846.13
  4. Step 4: Simplify right side
    1,200.07x = 1,401,225.13
  5. Step 5: Solve for x
    x = 1,401,225.13/1,200.07
  6. Step 6: Final answer
    x = 1,167.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.