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Finding the Fourth Proportional to 456.19, 630.74 and 435.79

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Solution

The fourth proportional to 456.19, 630.74 and 435.79 is: 602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.19 : 630.74 = 435.79 : x
  2. Step 2: Convert to fraction form
    456.19/630.74 = 435.79/x
  3. Step 3: Cross multiply
    456.19x = 630.74 × 435.79
  4. Step 4: Simplify right side
    456.19x = 274,868.06
  5. Step 5: Solve for x
    x = 274,868.06/456.19
  6. Step 6: Final answer
    x = 602.53

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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.