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Finding the Fourth Proportional to 1,173.79, 1,618.36 and 858.80

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Solution

The fourth proportional to 1,173.79, 1,618.36 and 858.80 is: 1,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.79 : 1,618.36 = 858.80 : x
  2. Step 2: Convert to fraction form
    1,173.79/1,618.36 = 858.80/x
  3. Step 3: Cross multiply
    1,173.79x = 1,618.36 × 858.80
  4. Step 4: Simplify right side
    1,173.79x = 1,389,835.18
  5. Step 5: Solve for x
    x = 1,389,835.18/1,173.79
  6. Step 6: Final answer
    x = 1,184.06

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1.5x scale

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.