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Finding the Fourth Proportional to 917.70, 1,282.35 and 917.70

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Solution

The fourth proportional to 917.70, 1,282.35 and 917.70 is: 1,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.70 : 1,282.35 = 917.70 : x
  2. Step 2: Convert to fraction form
    917.70/1,282.35 = 917.70/x
  3. Step 3: Cross multiply
    917.70x = 1,282.35 × 917.70
  4. Step 4: Simplify right side
    917.70x = 1,176,812.60
  5. Step 5: Solve for x
    x = 1,176,812.60/917.70
  6. Step 6: Final answer
    x = 1,282.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.