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Finding the Fourth Proportional to 538.23, 802.64 and 479.24

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Solution

The fourth proportional to 538.23, 802.64 and 479.24 is: 714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.23 : 802.64 = 479.24 : x
  2. Step 2: Convert to fraction form
    538.23/802.64 = 479.24/x
  3. Step 3: Cross multiply
    538.23x = 802.64 × 479.24
  4. Step 4: Simplify right side
    538.23x = 384,650.78
  5. Step 5: Solve for x
    x = 384,650.78/538.23
  6. Step 6: Final answer
    x = 714.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.