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Finding the Fourth Proportional to 1,390.42, 1,905.95 and 1,365.58

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Solution

The fourth proportional to 1,390.42, 1,905.95 and 1,365.58 is: 1,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.42 : 1,905.95 = 1,365.58 : x
  2. Step 2: Convert to fraction form
    1,390.42/1,905.95 = 1,365.58/x
  3. Step 3: Cross multiply
    1,390.42x = 1,905.95 × 1,365.58
  4. Step 4: Simplify right side
    1,390.42x = 2,602,727.20
  5. Step 5: Solve for x
    x = 2,602,727.20/1,390.42
  6. Step 6: Final answer
    x = 1,871.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.