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Finding the Fourth Proportional to 670.83, 925.45 and 421.98

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Solution

The fourth proportional to 670.83, 925.45 and 421.98 is: 582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.83 : 925.45 = 421.98 : x
  2. Step 2: Convert to fraction form
    670.83/925.45 = 421.98/x
  3. Step 3: Cross multiply
    670.83x = 925.45 × 421.98
  4. Step 4: Simplify right side
    670.83x = 390,521.39
  5. Step 5: Solve for x
    x = 390,521.39/670.83
  6. Step 6: Final answer
    x = 582.15

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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.