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Finding the Fourth Proportional to 529.03, 788.87 and 524.43

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Solution

The fourth proportional to 529.03, 788.87 and 524.43 is: 782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.03 : 788.87 = 524.43 : x
  2. Step 2: Convert to fraction form
    529.03/788.87 = 524.43/x
  3. Step 3: Cross multiply
    529.03x = 788.87 × 524.43
  4. Step 4: Simplify right side
    529.03x = 413,707.09
  5. Step 5: Solve for x
    x = 413,707.09/529.03
  6. Step 6: Final answer
    x = 782.01

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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.