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Finding the Fourth Proportional to 1,332.35, 1,838.86 and 1,017.02

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Solution

The fourth proportional to 1,332.35, 1,838.86 and 1,017.02 is: 1,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.35 : 1,838.86 = 1,017.02 : x
  2. Step 2: Convert to fraction form
    1,332.35/1,838.86 = 1,017.02/x
  3. Step 3: Cross multiply
    1,332.35x = 1,838.86 × 1,017.02
  4. Step 4: Simplify right side
    1,332.35x = 1,870,157.40
  5. Step 5: Solve for x
    x = 1,870,157.40/1,332.35
  6. Step 6: Final answer
    x = 1,403.65

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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.