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Finding the Fourth Proportional to 1,304.19, 1,955.70 and 777.35

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Solution

The fourth proportional to 1,304.19, 1,955.70 and 777.35 is: 1,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.19 : 1,955.70 = 777.35 : x
  2. Step 2: Convert to fraction form
    1,304.19/1,955.70 = 777.35/x
  3. Step 3: Cross multiply
    1,304.19x = 1,955.70 × 777.35
  4. Step 4: Simplify right side
    1,304.19x = 1,520,258.51
  5. Step 5: Solve for x
    x = 1,520,258.51/1,304.19
  6. Step 6: Final answer
    x = 1,165.67

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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.