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Finding the Fourth Proportional to 538.48, 802.88 and 528.76

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Solution

The fourth proportional to 538.48, 802.88 and 528.76 is: 788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.48 : 802.88 = 528.76 : x
  2. Step 2: Convert to fraction form
    538.48/802.88 = 528.76/x
  3. Step 3: Cross multiply
    538.48x = 802.88 × 528.76
  4. Step 4: Simplify right side
    538.48x = 424,530.83
  5. Step 5: Solve for x
    x = 424,530.83/538.48
  6. Step 6: Final answer
    x = 788.39

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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.