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Finding the Fourth Proportional to 460.02, 687.23 and 328.98

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Solution

The fourth proportional to 460.02, 687.23 and 328.98 is: 491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.02 : 687.23 = 328.98 : x
  2. Step 2: Convert to fraction form
    460.02/687.23 = 328.98/x
  3. Step 3: Cross multiply
    460.02x = 687.23 × 328.98
  4. Step 4: Simplify right side
    460.02x = 226,085.75
  5. Step 5: Solve for x
    x = 226,085.75/460.02
  6. Step 6: Final answer
    x = 491.47

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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.