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Finding the Fourth Proportional to 1,946.68, 2,920.50 and 648.16

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Solution

The fourth proportional to 1,946.68, 2,920.50 and 648.16 is: 972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.68 : 2,920.50 = 648.16 : x
  2. Step 2: Convert to fraction form
    1,946.68/2,920.50 = 648.16/x
  3. Step 3: Cross multiply
    1,946.68x = 2,920.50 × 648.16
  4. Step 4: Simplify right side
    1,946.68x = 1,892,951.28
  5. Step 5: Solve for x
    x = 1,892,951.28/1,946.68
  6. Step 6: Final answer
    x = 972.40

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1.5x scale

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.