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Finding the Fourth Proportional to 1,277.02, 1,907.76 and 811.07

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Solution

The fourth proportional to 1,277.02, 1,907.76 and 811.07 is: 1,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.02 : 1,907.76 = 811.07 : x
  2. Step 2: Convert to fraction form
    1,277.02/1,907.76 = 811.07/x
  3. Step 3: Cross multiply
    1,277.02x = 1,907.76 × 811.07
  4. Step 4: Simplify right side
    1,277.02x = 1,547,320.41
  5. Step 5: Solve for x
    x = 1,547,320.41/1,277.02
  6. Step 6: Final answer
    x = 1,211.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.