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Finding the Fourth Proportional to 690.76, 1,036.14 and 670.24

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Solution

The fourth proportional to 690.76, 1,036.14 and 670.24 is: 1,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.76 : 1,036.14 = 670.24 : x
  2. Step 2: Convert to fraction form
    690.76/1,036.14 = 670.24/x
  3. Step 3: Cross multiply
    690.76x = 1,036.14 × 670.24
  4. Step 4: Simplify right side
    690.76x = 694,462.47
  5. Step 5: Solve for x
    x = 694,462.47/690.76
  6. Step 6: Final answer
    x = 1,005.36

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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.