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Finding the Fourth Proportional to 949.02, 1,307.61 and 686.58

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Solution

The fourth proportional to 949.02, 1,307.61 and 686.58 is: 946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.02 : 1,307.61 = 686.58 : x
  2. Step 2: Convert to fraction form
    949.02/1,307.61 = 686.58/x
  3. Step 3: Cross multiply
    949.02x = 1,307.61 × 686.58
  4. Step 4: Simplify right side
    949.02x = 897,778.87
  5. Step 5: Solve for x
    x = 897,778.87/949.02
  6. Step 6: Final answer
    x = 946.01

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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.