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Finding the Fourth Proportional to 463.84, 692.37 and 430.05

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Solution

The fourth proportional to 463.84, 692.37 and 430.05 is: 641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.84 : 692.37 = 430.05 : x
  2. Step 2: Convert to fraction form
    463.84/692.37 = 430.05/x
  3. Step 3: Cross multiply
    463.84x = 692.37 × 430.05
  4. Step 4: Simplify right side
    463.84x = 297,753.72
  5. Step 5: Solve for x
    x = 297,753.72/463.84
  6. Step 6: Final answer
    x = 641.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.