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Finding the Fourth Proportional to 1,870.60, 2,805.78 and 774.93

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Solution

The fourth proportional to 1,870.60, 2,805.78 and 774.93 is: 1,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.60 : 2,805.78 = 774.93 : x
  2. Step 2: Convert to fraction form
    1,870.60/2,805.78 = 774.93/x
  3. Step 3: Cross multiply
    1,870.60x = 2,805.78 × 774.93
  4. Step 4: Simplify right side
    1,870.60x = 2,174,283.10
  5. Step 5: Solve for x
    x = 2,174,283.10/1,870.60
  6. Step 6: Final answer
    x = 1,162.35

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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.