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Finding the Fourth Proportional to 468.51, 707.19 and 466.08

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Solution

The fourth proportional to 468.51, 707.19 and 466.08 is: 703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.51 : 707.19 = 466.08 : x
  2. Step 2: Convert to fraction form
    468.51/707.19 = 466.08/x
  3. Step 3: Cross multiply
    468.51x = 707.19 × 466.08
  4. Step 4: Simplify right side
    468.51x = 329,607.12
  5. Step 5: Solve for x
    x = 329,607.12/468.51
  6. Step 6: Final answer
    x = 703.52

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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.