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Finding the Fourth Proportional to 1,264.90, 1,899.12 and 649.06

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Solution

The fourth proportional to 1,264.90, 1,899.12 and 649.06 is: 974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.90 : 1,899.12 = 649.06 : x
  2. Step 2: Convert to fraction form
    1,264.90/1,899.12 = 649.06/x
  3. Step 3: Cross multiply
    1,264.90x = 1,899.12 × 649.06
  4. Step 4: Simplify right side
    1,264.90x = 1,232,642.83
  5. Step 5: Solve for x
    x = 1,232,642.83/1,264.90
  6. Step 6: Final answer
    x = 974.50

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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.