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Finding the Fourth Proportional to 612.33, 845.18 and 502.06

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Solution

The fourth proportional to 612.33, 845.18 and 502.06 is: 692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.33 : 845.18 = 502.06 : x
  2. Step 2: Convert to fraction form
    612.33/845.18 = 502.06/x
  3. Step 3: Cross multiply
    612.33x = 845.18 × 502.06
  4. Step 4: Simplify right side
    612.33x = 424,331.07
  5. Step 5: Solve for x
    x = 424,331.07/612.33
  6. Step 6: Final answer
    x = 692.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.