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Finding the Fourth Proportional to 532.58, 802.24 and 492.48

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Solution

The fourth proportional to 532.58, 802.24 and 492.48 is: 741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.58 : 802.24 = 492.48 : x
  2. Step 2: Convert to fraction form
    532.58/802.24 = 492.48/x
  3. Step 3: Cross multiply
    532.58x = 802.24 × 492.48
  4. Step 4: Simplify right side
    532.58x = 395,087.16
  5. Step 5: Solve for x
    x = 395,087.16/532.58
  6. Step 6: Final answer
    x = 741.84

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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.