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Finding the Fourth Proportional to 460.76, 688.28 and 369.63

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Solution

The fourth proportional to 460.76, 688.28 and 369.63 is: 552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.76 : 688.28 = 369.63 : x
  2. Step 2: Convert to fraction form
    460.76/688.28 = 369.63/x
  3. Step 3: Cross multiply
    460.76x = 688.28 × 369.63
  4. Step 4: Simplify right side
    460.76x = 254,409.17
  5. Step 5: Solve for x
    x = 254,409.17/460.76
  6. Step 6: Final answer
    x = 552.16

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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.