Home / 1,506.16-2,078.58-916.60

Finding the Fourth Proportional to 1,506.16, 2,078.58 and 916.60

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Solution

The fourth proportional to 1,506.16, 2,078.58 and 916.60 is: 1,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.16 : 2,078.58 = 916.60 : x
  2. Step 2: Convert to fraction form
    1,506.16/2,078.58 = 916.60/x
  3. Step 3: Cross multiply
    1,506.16x = 2,078.58 × 916.60
  4. Step 4: Simplify right side
    1,506.16x = 1,905,226.43
  5. Step 5: Solve for x
    x = 1,905,226.43/1,506.16
  6. Step 6: Final answer
    x = 1,264.96

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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.