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Finding the Fourth Proportional to 501.93, 692.64 and 277.88

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Solution

The fourth proportional to 501.93, 692.64 and 277.88 is: 383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.93 : 692.64 = 277.88 : x
  2. Step 2: Convert to fraction form
    501.93/692.64 = 277.88/x
  3. Step 3: Cross multiply
    501.93x = 692.64 × 277.88
  4. Step 4: Simplify right side
    501.93x = 192,467.34
  5. Step 5: Solve for x
    x = 192,467.34/501.93
  6. Step 6: Final answer
    x = 383.45

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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.