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Finding the Fourth Proportional to 910.22, 1,355.64 and 877.94

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Solution

The fourth proportional to 910.22, 1,355.64 and 877.94 is: 1,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.22 : 1,355.64 = 877.94 : x
  2. Step 2: Convert to fraction form
    910.22/1,355.64 = 877.94/x
  3. Step 3: Cross multiply
    910.22x = 1,355.64 × 877.94
  4. Step 4: Simplify right side
    910.22x = 1,190,159.41
  5. Step 5: Solve for x
    x = 1,190,159.41/910.22
  6. Step 6: Final answer
    x = 1,307.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.