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Finding the Fourth Proportional to 473.90, 707.47 and 400.98

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Solution

The fourth proportional to 473.90, 707.47 and 400.98 is: 598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.90 : 707.47 = 400.98 : x
  2. Step 2: Convert to fraction form
    473.90/707.47 = 400.98/x
  3. Step 3: Cross multiply
    473.90x = 707.47 × 400.98
  4. Step 4: Simplify right side
    473.90x = 283,679.32
  5. Step 5: Solve for x
    x = 283,679.32/473.90
  6. Step 6: Final answer
    x = 598.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.