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Finding the Fourth Proportional to 810.75, 1,118.84 and 461.64

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Solution

The fourth proportional to 810.75, 1,118.84 and 461.64 is: 637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.75 : 1,118.84 = 461.64 : x
  2. Step 2: Convert to fraction form
    810.75/1,118.84 = 461.64/x
  3. Step 3: Cross multiply
    810.75x = 1,118.84 × 461.64
  4. Step 4: Simplify right side
    810.75x = 516,498.99
  5. Step 5: Solve for x
    x = 516,498.99/810.75
  6. Step 6: Final answer
    x = 637.06

Related Problems

Find fourth proportional to 405.38, 559.42 and 230.82
Half scale
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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.