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Finding the Fourth Proportional to 603.04, 830.95 and 463.15

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Solution

The fourth proportional to 603.04, 830.95 and 463.15 is: 638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.04 : 830.95 = 463.15 : x
  2. Step 2: Convert to fraction form
    603.04/830.95 = 463.15/x
  3. Step 3: Cross multiply
    603.04x = 830.95 × 463.15
  4. Step 4: Simplify right side
    603.04x = 384,854.49
  5. Step 5: Solve for x
    x = 384,854.49/603.04
  6. Step 6: Final answer
    x = 638.19

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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.