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Finding the Fourth Proportional to 1,557.90, 2,336.04 and 777.06

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Solution

The fourth proportional to 1,557.90, 2,336.04 and 777.06 is: 1,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.90 : 2,336.04 = 777.06 : x
  2. Step 2: Convert to fraction form
    1,557.90/2,336.04 = 777.06/x
  3. Step 3: Cross multiply
    1,557.90x = 2,336.04 × 777.06
  4. Step 4: Simplify right side
    1,557.90x = 1,815,243.24
  5. Step 5: Solve for x
    x = 1,815,243.24/1,557.90
  6. Step 6: Final answer
    x = 1,165.19

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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.