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Finding the Fourth Proportional to 473.23, 714.12 and 456.07

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Solution

The fourth proportional to 473.23, 714.12 and 456.07 is: 688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.23 : 714.12 = 456.07 : x
  2. Step 2: Convert to fraction form
    473.23/714.12 = 456.07/x
  3. Step 3: Cross multiply
    473.23x = 714.12 × 456.07
  4. Step 4: Simplify right side
    473.23x = 325,690.48
  5. Step 5: Solve for x
    x = 325,690.48/473.23
  6. Step 6: Final answer
    x = 688.22

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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.