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Finding the Fourth Proportional to 520.41, 718.53 and 465.06

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Solution

The fourth proportional to 520.41, 718.53 and 465.06 is: 642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.41 : 718.53 = 465.06 : x
  2. Step 2: Convert to fraction form
    520.41/718.53 = 465.06/x
  3. Step 3: Cross multiply
    520.41x = 718.53 × 465.06
  4. Step 4: Simplify right side
    520.41x = 334,159.56
  5. Step 5: Solve for x
    x = 334,159.56/520.41
  6. Step 6: Final answer
    x = 642.11

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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.