Home / 1,580.04-2,180.45-916.94

Finding the Fourth Proportional to 1,580.04, 2,180.45 and 916.94

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Solution

The fourth proportional to 1,580.04, 2,180.45 and 916.94 is: 1,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.04 : 2,180.45 = 916.94 : x
  2. Step 2: Convert to fraction form
    1,580.04/2,180.45 = 916.94/x
  3. Step 3: Cross multiply
    1,580.04x = 2,180.45 × 916.94
  4. Step 4: Simplify right side
    1,580.04x = 1,999,349.57
  5. Step 5: Solve for x
    x = 1,999,349.57/1,580.04
  6. Step 6: Final answer
    x = 1,265.38

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1.5x scale

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.