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Finding the Fourth Proportional to 1,022.02, 1,410.81 and 690.89

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Solution

The fourth proportional to 1,022.02, 1,410.81 and 690.89 is: 953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.02 : 1,410.81 = 690.89 : x
  2. Step 2: Convert to fraction form
    1,022.02/1,410.81 = 690.89/x
  3. Step 3: Cross multiply
    1,022.02x = 1,410.81 × 690.89
  4. Step 4: Simplify right side
    1,022.02x = 974,720.69
  5. Step 5: Solve for x
    x = 974,720.69/1,022.02
  6. Step 6: Final answer
    x = 953.72

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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.