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Finding the Fourth Proportional to 690.18, 1,028.69 and 651.26

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Solution

The fourth proportional to 690.18, 1,028.69 and 651.26 is: 970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.18 : 1,028.69 = 651.26 : x
  2. Step 2: Convert to fraction form
    690.18/1,028.69 = 651.26/x
  3. Step 3: Cross multiply
    690.18x = 1,028.69 × 651.26
  4. Step 4: Simplify right side
    690.18x = 669,946.41
  5. Step 5: Solve for x
    x = 669,946.41/690.18
  6. Step 6: Final answer
    x = 970.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.