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Finding the Fourth Proportional to 1,148.30, 1,585.24 and 777.24

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Solution

The fourth proportional to 1,148.30, 1,585.24 and 777.24 is: 1,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.30 : 1,585.24 = 777.24 : x
  2. Step 2: Convert to fraction form
    1,148.30/1,585.24 = 777.24/x
  3. Step 3: Cross multiply
    1,148.30x = 1,585.24 × 777.24
  4. Step 4: Simplify right side
    1,148.30x = 1,232,111.94
  5. Step 5: Solve for x
    x = 1,232,111.94/1,148.30
  6. Step 6: Final answer
    x = 1,072.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.