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Finding the Fourth Proportional to 581.08, 802.74 and 456.34

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Solution

The fourth proportional to 581.08, 802.74 and 456.34 is: 630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.08 : 802.74 = 456.34 : x
  2. Step 2: Convert to fraction form
    581.08/802.74 = 456.34/x
  3. Step 3: Cross multiply
    581.08x = 802.74 × 456.34
  4. Step 4: Simplify right side
    581.08x = 366,322.37
  5. Step 5: Solve for x
    x = 366,322.37/581.08
  6. Step 6: Final answer
    x = 630.42

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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.