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Finding the Fourth Proportional to 1,041.84, 1,439.64 and 693

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Solution

The fourth proportional to 1,041.84, 1,439.64 and 693 is: 957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.84 : 1,439.64 = 693 : x
  2. Step 2: Convert to fraction form
    1,041.84/1,439.64 = 693/x
  3. Step 3: Cross multiply
    1,041.84x = 1,439.64 × 693
  4. Step 4: Simplify right side
    1,041.84x = 997,670.52
  5. Step 5: Solve for x
    x = 997,670.52/1,041.84
  6. Step 6: Final answer
    x = 957.60

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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.