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Finding the Fourth Proportional to 810.21, 1,214.29 and 440.01

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Solution

The fourth proportional to 810.21, 1,214.29 and 440.01 is: 659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.21 : 1,214.29 = 440.01 : x
  2. Step 2: Convert to fraction form
    810.21/1,214.29 = 440.01/x
  3. Step 3: Cross multiply
    810.21x = 1,214.29 × 440.01
  4. Step 4: Simplify right side
    810.21x = 534,293.67
  5. Step 5: Solve for x
    x = 534,293.67/810.21
  6. Step 6: Final answer
    x = 659.45

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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.