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Finding the Fourth Proportional to 581.99, 802.62 and 371.93

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Solution

The fourth proportional to 581.99, 802.62 and 371.93 is: 512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.99 : 802.62 = 371.93 : x
  2. Step 2: Convert to fraction form
    581.99/802.62 = 371.93/x
  3. Step 3: Cross multiply
    581.99x = 802.62 × 371.93
  4. Step 4: Simplify right side
    581.99x = 298,514.44
  5. Step 5: Solve for x
    x = 298,514.44/581.99
  6. Step 6: Final answer
    x = 512.92

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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.