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Finding the Fourth Proportional to 470.86, 652.84 and 442.93

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Solution

The fourth proportional to 470.86, 652.84 and 442.93 is: 614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.86 : 652.84 = 442.93 : x
  2. Step 2: Convert to fraction form
    470.86/652.84 = 442.93/x
  3. Step 3: Cross multiply
    470.86x = 652.84 × 442.93
  4. Step 4: Simplify right side
    470.86x = 289,162.42
  5. Step 5: Solve for x
    x = 289,162.42/470.86
  6. Step 6: Final answer
    x = 614.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.