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Finding the Fourth Proportional to 649.18, 894.63 and 474.58

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Solution

The fourth proportional to 649.18, 894.63 and 474.58 is: 654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.18 : 894.63 = 474.58 : x
  2. Step 2: Convert to fraction form
    649.18/894.63 = 474.58/x
  3. Step 3: Cross multiply
    649.18x = 894.63 × 474.58
  4. Step 4: Simplify right side
    649.18x = 424,573.51
  5. Step 5: Solve for x
    x = 424,573.51/649.18
  6. Step 6: Final answer
    x = 654.02

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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.