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Finding the Fourth Proportional to 491.18, 678.12 and 436.51

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Solution

The fourth proportional to 491.18, 678.12 and 436.51 is: 602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.18 : 678.12 = 436.51 : x
  2. Step 2: Convert to fraction form
    491.18/678.12 = 436.51/x
  3. Step 3: Cross multiply
    491.18x = 678.12 × 436.51
  4. Step 4: Simplify right side
    491.18x = 296,006.16
  5. Step 5: Solve for x
    x = 296,006.16/491.18
  6. Step 6: Final answer
    x = 602.64

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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.