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Finding the Fourth Proportional to 480.48, 715.66 and 470.36

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Solution

The fourth proportional to 480.48, 715.66 and 470.36 is: 700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.48 : 715.66 = 470.36 : x
  2. Step 2: Convert to fraction form
    480.48/715.66 = 470.36/x
  3. Step 3: Cross multiply
    480.48x = 715.66 × 470.36
  4. Step 4: Simplify right side
    480.48x = 336,615.75
  5. Step 5: Solve for x
    x = 336,615.75/480.48
  6. Step 6: Final answer
    x = 700.58

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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.