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Finding the Fourth Proportional to 1,038.59, 1,433.36 and 776.15

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Solution

The fourth proportional to 1,038.59, 1,433.36 and 776.15 is: 1,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.59 : 1,433.36 = 776.15 : x
  2. Step 2: Convert to fraction form
    1,038.59/1,433.36 = 776.15/x
  3. Step 3: Cross multiply
    1,038.59x = 1,433.36 × 776.15
  4. Step 4: Simplify right side
    1,038.59x = 1,112,502.36
  5. Step 5: Solve for x
    x = 1,112,502.36/1,038.59
  6. Step 6: Final answer
    x = 1,071.17

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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.