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Finding the Fourth Proportional to 581.63, 803.36 and 434.92

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Solution

The fourth proportional to 581.63, 803.36 and 434.92 is: 600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.63 : 803.36 = 434.92 : x
  2. Step 2: Convert to fraction form
    581.63/803.36 = 434.92/x
  3. Step 3: Cross multiply
    581.63x = 803.36 × 434.92
  4. Step 4: Simplify right side
    581.63x = 349,396.41
  5. Step 5: Solve for x
    x = 349,396.41/581.63
  6. Step 6: Final answer
    x = 600.72

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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.