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Finding the Fourth Proportional to 503.69, 756.45 and 463.04

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Solution

The fourth proportional to 503.69, 756.45 and 463.04 is: 695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.69 : 756.45 = 463.04 : x
  2. Step 2: Convert to fraction form
    503.69/756.45 = 463.04/x
  3. Step 3: Cross multiply
    503.69x = 756.45 × 463.04
  4. Step 4: Simplify right side
    503.69x = 350,266.61
  5. Step 5: Solve for x
    x = 350,266.61/503.69
  6. Step 6: Final answer
    x = 695.40

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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.