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Finding the Fourth Proportional to 665.44, 915.84 and 582.76

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Solution

The fourth proportional to 665.44, 915.84 and 582.76 is: 802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 915.84 = 582.76 : x
  2. Step 2: Convert to fraction form
    665.44/915.84 = 582.76/x
  3. Step 3: Cross multiply
    665.44x = 915.84 × 582.76
  4. Step 4: Simplify right side
    665.44x = 533,714.92
  5. Step 5: Solve for x
    x = 533,714.92/665.44
  6. Step 6: Final answer
    x = 802.05

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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.