Home / 1,510.07-2,260.25-778.64

Finding the Fourth Proportional to 1,510.07, 2,260.25 and 778.64

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Solution

The fourth proportional to 1,510.07, 2,260.25 and 778.64 is: 1,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.07 : 2,260.25 = 778.64 : x
  2. Step 2: Convert to fraction form
    1,510.07/2,260.25 = 778.64/x
  3. Step 3: Cross multiply
    1,510.07x = 2,260.25 × 778.64
  4. Step 4: Simplify right side
    1,510.07x = 1,759,905.87
  5. Step 5: Solve for x
    x = 1,759,905.87/1,510.07
  6. Step 6: Final answer
    x = 1,165.45

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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.