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Finding the Fourth Proportional to 575.71, 793.74 and 465.01

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Solution

The fourth proportional to 575.71, 793.74 and 465.01 is: 641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.71 : 793.74 = 465.01 : x
  2. Step 2: Convert to fraction form
    575.71/793.74 = 465.01/x
  3. Step 3: Cross multiply
    575.71x = 793.74 × 465.01
  4. Step 4: Simplify right side
    575.71x = 369,097.04
  5. Step 5: Solve for x
    x = 369,097.04/575.71
  6. Step 6: Final answer
    x = 641.12

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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.