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Finding the Fourth Proportional to 691.64, 954.83 and 429.81

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Solution

The fourth proportional to 691.64, 954.83 and 429.81 is: 593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.64 : 954.83 = 429.81 : x
  2. Step 2: Convert to fraction form
    691.64/954.83 = 429.81/x
  3. Step 3: Cross multiply
    691.64x = 954.83 × 429.81
  4. Step 4: Simplify right side
    691.64x = 410,395.48
  5. Step 5: Solve for x
    x = 410,395.48/691.64
  6. Step 6: Final answer
    x = 593.37

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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.