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Finding the Fourth Proportional to 470.07, 710.24 and 465.62

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Solution

The fourth proportional to 470.07, 710.24 and 465.62 is: 703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.07 : 710.24 = 465.62 : x
  2. Step 2: Convert to fraction form
    470.07/710.24 = 465.62/x
  3. Step 3: Cross multiply
    470.07x = 710.24 × 465.62
  4. Step 4: Simplify right side
    470.07x = 330,696.07
  5. Step 5: Solve for x
    x = 330,696.07/470.07
  6. Step 6: Final answer
    x = 703.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.