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Finding the Fourth Proportional to 910.58, 1,365.98 and 416.98

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Solution

The fourth proportional to 910.58, 1,365.98 and 416.98 is: 625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.58 : 1,365.98 = 416.98 : x
  2. Step 2: Convert to fraction form
    910.58/1,365.98 = 416.98/x
  3. Step 3: Cross multiply
    910.58x = 1,365.98 × 416.98
  4. Step 4: Simplify right side
    910.58x = 569,580.84
  5. Step 5: Solve for x
    x = 569,580.84/910.58
  6. Step 6: Final answer
    x = 625.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.