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Finding the Fourth Proportional to 810.53, 1,118.43 and 456.38

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Solution

The fourth proportional to 810.53, 1,118.43 and 456.38 is: 629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.53 : 1,118.43 = 456.38 : x
  2. Step 2: Convert to fraction form
    810.53/1,118.43 = 456.38/x
  3. Step 3: Cross multiply
    810.53x = 1,118.43 × 456.38
  4. Step 4: Simplify right side
    810.53x = 510,429.08
  5. Step 5: Solve for x
    x = 510,429.08/810.53
  6. Step 6: Final answer
    x = 629.75

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Double scale
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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.