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Finding the Fourth Proportional to 468.47, 706.10 and 442.01

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Solution

The fourth proportional to 468.47, 706.10 and 442.01 is: 666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.47 : 706.10 = 442.01 : x
  2. Step 2: Convert to fraction form
    468.47/706.10 = 442.01/x
  3. Step 3: Cross multiply
    468.47x = 706.10 × 442.01
  4. Step 4: Simplify right side
    468.47x = 312,103.26
  5. Step 5: Solve for x
    x = 312,103.26/468.47
  6. Step 6: Final answer
    x = 666.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.