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Finding the Fourth Proportional to 917.84, 1,265.81 and 651.75

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Solution

The fourth proportional to 917.84, 1,265.81 and 651.75 is: 898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.84 : 1,265.81 = 651.75 : x
  2. Step 2: Convert to fraction form
    917.84/1,265.81 = 651.75/x
  3. Step 3: Cross multiply
    917.84x = 1,265.81 × 651.75
  4. Step 4: Simplify right side
    917.84x = 824,988.41
  5. Step 5: Solve for x
    x = 824,988.41/917.84
  6. Step 6: Final answer
    x = 898.84

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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.