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Finding the Fourth Proportional to 1,174.04, 1,618.98 and 708.20

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Solution

The fourth proportional to 1,174.04, 1,618.98 and 708.20 is: 976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.04 : 1,618.98 = 708.20 : x
  2. Step 2: Convert to fraction form
    1,174.04/1,618.98 = 708.20/x
  3. Step 3: Cross multiply
    1,174.04x = 1,618.98 × 708.20
  4. Step 4: Simplify right side
    1,174.04x = 1,146,561.64
  5. Step 5: Solve for x
    x = 1,146,561.64/1,174.04
  6. Step 6: Final answer
    x = 976.60

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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.