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Finding the Fourth Proportional to 460.98, 692.28 and 392.94

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Solution

The fourth proportional to 460.98, 692.28 and 392.94 is: 590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.98 : 692.28 = 392.94 : x
  2. Step 2: Convert to fraction form
    460.98/692.28 = 392.94/x
  3. Step 3: Cross multiply
    460.98x = 692.28 × 392.94
  4. Step 4: Simplify right side
    460.98x = 272,024.50
  5. Step 5: Solve for x
    x = 272,024.50/460.98
  6. Step 6: Final answer
    x = 590.10

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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.