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Finding the Fourth Proportional to 532.98, 802.29 and 486.27

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Solution

The fourth proportional to 532.98, 802.29 and 486.27 is: 731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.98 : 802.29 = 486.27 : x
  2. Step 2: Convert to fraction form
    532.98/802.29 = 486.27/x
  3. Step 3: Cross multiply
    532.98x = 802.29 × 486.27
  4. Step 4: Simplify right side
    532.98x = 390,128.65
  5. Step 5: Solve for x
    x = 390,128.65/532.98
  6. Step 6: Final answer
    x = 731.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.