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Finding the Fourth Proportional to 902.53, 1,345.01 and 805.06

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Solution

The fourth proportional to 902.53, 1,345.01 and 805.06 is: 1,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.53 : 1,345.01 = 805.06 : x
  2. Step 2: Convert to fraction form
    902.53/1,345.01 = 805.06/x
  3. Step 3: Cross multiply
    902.53x = 1,345.01 × 805.06
  4. Step 4: Simplify right side
    902.53x = 1,082,813.75
  5. Step 5: Solve for x
    x = 1,082,813.75/902.53
  6. Step 6: Final answer
    x = 1,199.75

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1.5x scale

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.