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Finding the Fourth Proportional to 807.66, 1,210.23 and 460.56

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Solution

The fourth proportional to 807.66, 1,210.23 and 460.56 is: 690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.66 : 1,210.23 = 460.56 : x
  2. Step 2: Convert to fraction form
    807.66/1,210.23 = 460.56/x
  3. Step 3: Cross multiply
    807.66x = 1,210.23 × 460.56
  4. Step 4: Simplify right side
    807.66x = 557,383.53
  5. Step 5: Solve for x
    x = 557,383.53/807.66
  6. Step 6: Final answer
    x = 690.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.