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Finding the Fourth Proportional to 815.02, 1,223.49 and 425.77

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Solution

The fourth proportional to 815.02, 1,223.49 and 425.77 is: 639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.02 : 1,223.49 = 425.77 : x
  2. Step 2: Convert to fraction form
    815.02/1,223.49 = 425.77/x
  3. Step 3: Cross multiply
    815.02x = 1,223.49 × 425.77
  4. Step 4: Simplify right side
    815.02x = 520,925.34
  5. Step 5: Solve for x
    x = 520,925.34/815.02
  6. Step 6: Final answer
    x = 639.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.