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Finding the Fourth Proportional to 556.73, 828.77 and 530.20

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Solution

The fourth proportional to 556.73, 828.77 and 530.20 is: 789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.73 : 828.77 = 530.20 : x
  2. Step 2: Convert to fraction form
    556.73/828.77 = 530.20/x
  3. Step 3: Cross multiply
    556.73x = 828.77 × 530.20
  4. Step 4: Simplify right side
    556.73x = 439,413.85
  5. Step 5: Solve for x
    x = 439,413.85/556.73
  6. Step 6: Final answer
    x = 789.28

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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.