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Finding the Fourth Proportional to 529.65, 788.74 and 520.53

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Solution

The fourth proportional to 529.65, 788.74 and 520.53 is: 775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.65 : 788.74 = 520.53 : x
  2. Step 2: Convert to fraction form
    529.65/788.74 = 520.53/x
  3. Step 3: Cross multiply
    529.65x = 788.74 × 520.53
  4. Step 4: Simplify right side
    529.65x = 410,561.53
  5. Step 5: Solve for x
    x = 410,561.53/529.65
  6. Step 6: Final answer
    x = 775.16

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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.