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Finding the Fourth Proportional to 474.07, 653.88 and 316.63

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Solution

The fourth proportional to 474.07, 653.88 and 316.63 is: 436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.07 : 653.88 = 316.63 : x
  2. Step 2: Convert to fraction form
    474.07/653.88 = 316.63/x
  3. Step 3: Cross multiply
    474.07x = 653.88 × 316.63
  4. Step 4: Simplify right side
    474.07x = 207,034.76
  5. Step 5: Solve for x
    x = 207,034.76/474.07
  6. Step 6: Final answer
    x = 436.72

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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.