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Finding the Fourth Proportional to 1,510.94, 2,266.41 and 415.47

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Solution

The fourth proportional to 1,510.94, 2,266.41 and 415.47 is: 623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.94 : 2,266.41 = 415.47 : x
  2. Step 2: Convert to fraction form
    1,510.94/2,266.41 = 415.47/x
  3. Step 3: Cross multiply
    1,510.94x = 2,266.41 × 415.47
  4. Step 4: Simplify right side
    1,510.94x = 941,625.36
  5. Step 5: Solve for x
    x = 941,625.36/1,510.94
  6. Step 6: Final answer
    x = 623.21

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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.