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Finding the Fourth Proportional to 470.37, 649.30 and 457.95

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Solution

The fourth proportional to 470.37, 649.30 and 457.95 is: 632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.37 : 649.30 = 457.95 : x
  2. Step 2: Convert to fraction form
    470.37/649.30 = 457.95/x
  3. Step 3: Cross multiply
    470.37x = 649.30 × 457.95
  4. Step 4: Simplify right side
    470.37x = 297,349.08
  5. Step 5: Solve for x
    x = 297,349.08/470.37
  6. Step 6: Final answer
    x = 632.15

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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.