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Finding the Fourth Proportional to 536.10, 802.08 and 497.22

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Solution

The fourth proportional to 536.10, 802.08 and 497.22 is: 743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.10 : 802.08 = 497.22 : x
  2. Step 2: Convert to fraction form
    536.10/802.08 = 497.22/x
  3. Step 3: Cross multiply
    536.10x = 802.08 × 497.22
  4. Step 4: Simplify right side
    536.10x = 398,807.21
  5. Step 5: Solve for x
    x = 398,807.21/536.10
  6. Step 6: Final answer
    x = 743.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.