Home / 1,580.17-2,180.58-916.98

Finding the Fourth Proportional to 1,580.17, 2,180.58 and 916.98

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Solution

The fourth proportional to 1,580.17, 2,180.58 and 916.98 is: 1,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.17 : 2,180.58 = 916.98 : x
  2. Step 2: Convert to fraction form
    1,580.17/2,180.58 = 916.98/x
  3. Step 3: Cross multiply
    1,580.17x = 2,180.58 × 916.98
  4. Step 4: Simplify right side
    1,580.17x = 1,999,548.25
  5. Step 5: Solve for x
    x = 1,999,548.25/1,580.17
  6. Step 6: Final answer
    x = 1,265.40

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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.