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Finding the Fourth Proportional to 612.78, 844.74 and 502.08

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Solution

The fourth proportional to 612.78, 844.74 and 502.08 is: 692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.78 : 844.74 = 502.08 : x
  2. Step 2: Convert to fraction form
    612.78/844.74 = 502.08/x
  3. Step 3: Cross multiply
    612.78x = 844.74 × 502.08
  4. Step 4: Simplify right side
    612.78x = 424,127.06
  5. Step 5: Solve for x
    x = 424,127.06/612.78
  6. Step 6: Final answer
    x = 692.14

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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.