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Finding the Fourth Proportional to 707.01, 1,060.10 and 290.42

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Solution

The fourth proportional to 707.01, 1,060.10 and 290.42 is: 435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.01 : 1,060.10 = 290.42 : x
  2. Step 2: Convert to fraction form
    707.01/1,060.10 = 290.42/x
  3. Step 3: Cross multiply
    707.01x = 1,060.10 × 290.42
  4. Step 4: Simplify right side
    707.01x = 307,867.49
  5. Step 5: Solve for x
    x = 307,867.49/707.01
  6. Step 6: Final answer
    x = 435.45

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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.