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Finding the Fourth Proportional to 556.02, 830.25 and 504.90

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Solution

The fourth proportional to 556.02, 830.25 and 504.90 is: 753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.02 : 830.25 = 504.90 : x
  2. Step 2: Convert to fraction form
    556.02/830.25 = 504.90/x
  3. Step 3: Cross multiply
    556.02x = 830.25 × 504.90
  4. Step 4: Simplify right side
    556.02x = 419,193.23
  5. Step 5: Solve for x
    x = 419,193.23/556.02
  6. Step 6: Final answer
    x = 753.92

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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.