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Finding the Fourth Proportional to 1,080.01, 1,490.43 and 707.62

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Solution

The fourth proportional to 1,080.01, 1,490.43 and 707.62 is: 976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.01 : 1,490.43 = 707.62 : x
  2. Step 2: Convert to fraction form
    1,080.01/1,490.43 = 707.62/x
  3. Step 3: Cross multiply
    1,080.01x = 1,490.43 × 707.62
  4. Step 4: Simplify right side
    1,080.01x = 1,054,658.08
  5. Step 5: Solve for x
    x = 1,054,658.08/1,080.01
  6. Step 6: Final answer
    x = 976.53

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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.