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Finding the Fourth Proportional to 470.54, 708.58 and 410.40

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Solution

The fourth proportional to 470.54, 708.58 and 410.40 is: 618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.54 : 708.58 = 410.40 : x
  2. Step 2: Convert to fraction form
    470.54/708.58 = 410.40/x
  3. Step 3: Cross multiply
    470.54x = 708.58 × 410.40
  4. Step 4: Simplify right side
    470.54x = 290,795.64
  5. Step 5: Solve for x
    x = 290,795.64/470.54
  6. Step 6: Final answer
    x = 618.01

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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.