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Finding the Fourth Proportional to 1,366.48, 1,885.72 and 777.16

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Solution

The fourth proportional to 1,366.48, 1,885.72 and 777.16 is: 1,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.48 : 1,885.72 = 777.16 : x
  2. Step 2: Convert to fraction form
    1,366.48/1,885.72 = 777.16/x
  3. Step 3: Cross multiply
    1,366.48x = 1,885.72 × 777.16
  4. Step 4: Simplify right side
    1,366.48x = 1,465,506.16
  5. Step 5: Solve for x
    x = 1,465,506.16/1,366.48
  6. Step 6: Final answer
    x = 1,072.47

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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.