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Finding the Fourth Proportional to 1,277.50, 1,915.86 and 455.66

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Solution

The fourth proportional to 1,277.50, 1,915.86 and 455.66 is: 683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.50 : 1,915.86 = 455.66 : x
  2. Step 2: Convert to fraction form
    1,277.50/1,915.86 = 455.66/x
  3. Step 3: Cross multiply
    1,277.50x = 1,915.86 × 455.66
  4. Step 4: Simplify right side
    1,277.50x = 872,980.77
  5. Step 5: Solve for x
    x = 872,980.77/1,277.50
  6. Step 6: Final answer
    x = 683.35

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Double scale
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1.5x scale

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.