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Finding the Fourth Proportional to 708.42, 978.20 and 460.16

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Solution

The fourth proportional to 708.42, 978.20 and 460.16 is: 635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.42 : 978.20 = 460.16 : x
  2. Step 2: Convert to fraction form
    708.42/978.20 = 460.16/x
  3. Step 3: Cross multiply
    708.42x = 978.20 × 460.16
  4. Step 4: Simplify right side
    708.42x = 450,128.51
  5. Step 5: Solve for x
    x = 450,128.51/708.42
  6. Step 6: Final answer
    x = 635.40

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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.