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Finding the Fourth Proportional to 1,298.74, 1,946.49 and 649.66

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Solution

The fourth proportional to 1,298.74, 1,946.49 and 649.66 is: 973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.74 : 1,946.49 = 649.66 : x
  2. Step 2: Convert to fraction form
    1,298.74/1,946.49 = 649.66/x
  3. Step 3: Cross multiply
    1,298.74x = 1,946.49 × 649.66
  4. Step 4: Simplify right side
    1,298.74x = 1,264,556.69
  5. Step 5: Solve for x
    x = 1,264,556.69/1,298.74
  6. Step 6: Final answer
    x = 973.68

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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.