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Finding the Fourth Proportional to 707.64, 974.34 and 582.90

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Solution

The fourth proportional to 707.64, 974.34 and 582.90 is: 802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.64 : 974.34 = 582.90 : x
  2. Step 2: Convert to fraction form
    707.64/974.34 = 582.90/x
  3. Step 3: Cross multiply
    707.64x = 974.34 × 582.90
  4. Step 4: Simplify right side
    707.64x = 567,942.79
  5. Step 5: Solve for x
    x = 567,942.79/707.64
  6. Step 6: Final answer
    x = 802.59

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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.