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Finding the Fourth Proportional to 491.88, 740.74 and 415.32

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Solution

The fourth proportional to 491.88, 740.74 and 415.32 is: 625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.88 : 740.74 = 415.32 : x
  2. Step 2: Convert to fraction form
    491.88/740.74 = 415.32/x
  3. Step 3: Cross multiply
    491.88x = 740.74 × 415.32
  4. Step 4: Simplify right side
    491.88x = 307,644.14
  5. Step 5: Solve for x
    x = 307,644.14/491.88
  6. Step 6: Final answer
    x = 625.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.