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Finding the Fourth Proportional to 470.98, 648.33 and 407.94

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Solution

The fourth proportional to 470.98, 648.33 and 407.94 is: 561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.98 : 648.33 = 407.94 : x
  2. Step 2: Convert to fraction form
    470.98/648.33 = 407.94/x
  3. Step 3: Cross multiply
    470.98x = 648.33 × 407.94
  4. Step 4: Simplify right side
    470.98x = 264,479.74
  5. Step 5: Solve for x
    x = 264,479.74/470.98
  6. Step 6: Final answer
    x = 561.55

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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.