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Finding the Fourth Proportional to 772.13, 1,064.70 and 523.01

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Solution

The fourth proportional to 772.13, 1,064.70 and 523.01 is: 721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.13 : 1,064.70 = 523.01 : x
  2. Step 2: Convert to fraction form
    772.13/1,064.70 = 523.01/x
  3. Step 3: Cross multiply
    772.13x = 1,064.70 × 523.01
  4. Step 4: Simplify right side
    772.13x = 556,848.75
  5. Step 5: Solve for x
    x = 556,848.75/772.13
  6. Step 6: Final answer
    x = 721.19

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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.