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Finding the Fourth Proportional to 1,271.60, 1,907.16 and 578.10

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Solution

The fourth proportional to 1,271.60, 1,907.16 and 578.10 is: 867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.60 : 1,907.16 = 578.10 : x
  2. Step 2: Convert to fraction form
    1,271.60/1,907.16 = 578.10/x
  3. Step 3: Cross multiply
    1,271.60x = 1,907.16 × 578.10
  4. Step 4: Simplify right side
    1,271.60x = 1,102,529.20
  5. Step 5: Solve for x
    x = 1,102,529.20/1,271.60
  6. Step 6: Final answer
    x = 867.04

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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.