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Finding the Fourth Proportional to 810.84, 1,119.06 and 461.64

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Solution

The fourth proportional to 810.84, 1,119.06 and 461.64 is: 637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.84 : 1,119.06 = 461.64 : x
  2. Step 2: Convert to fraction form
    810.84/1,119.06 = 461.64/x
  3. Step 3: Cross multiply
    810.84x = 1,119.06 × 461.64
  4. Step 4: Simplify right side
    810.84x = 516,602.86
  5. Step 5: Solve for x
    x = 516,602.86/810.84
  6. Step 6: Final answer
    x = 637.12

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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.