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Finding the Fourth Proportional to 771.47, 1,064.51 and 435.36

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Solution

The fourth proportional to 771.47, 1,064.51 and 435.36 is: 600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.47 : 1,064.51 = 435.36 : x
  2. Step 2: Convert to fraction form
    771.47/1,064.51 = 435.36/x
  3. Step 3: Cross multiply
    771.47x = 1,064.51 × 435.36
  4. Step 4: Simplify right side
    771.47x = 463,446.16
  5. Step 5: Solve for x
    x = 463,446.16/771.47
  6. Step 6: Final answer
    x = 600.73

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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.