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Finding the Fourth Proportional to 470.93, 701.53 and 456.58

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Solution

The fourth proportional to 470.93, 701.53 and 456.58 is: 680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.93 : 701.53 = 456.58 : x
  2. Step 2: Convert to fraction form
    470.93/701.53 = 456.58/x
  3. Step 3: Cross multiply
    470.93x = 701.53 × 456.58
  4. Step 4: Simplify right side
    470.93x = 320,306.87
  5. Step 5: Solve for x
    x = 320,306.87/470.93
  6. Step 6: Final answer
    x = 680.17

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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.