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Finding the Fourth Proportional to 503.88, 760.47 and 490.92

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Solution

The fourth proportional to 503.88, 760.47 and 490.92 is: 740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.88 : 760.47 = 490.92 : x
  2. Step 2: Convert to fraction form
    503.88/760.47 = 490.92/x
  3. Step 3: Cross multiply
    503.88x = 760.47 × 490.92
  4. Step 4: Simplify right side
    503.88x = 373,329.93
  5. Step 5: Solve for x
    x = 373,329.93/503.88
  6. Step 6: Final answer
    x = 740.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.