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Finding the Fourth Proportional to 1,357.80, 2,036.70 and 491.76

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Solution

The fourth proportional to 1,357.80, 2,036.70 and 491.76 is: 737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.80 : 2,036.70 = 491.76 : x
  2. Step 2: Convert to fraction form
    1,357.80/2,036.70 = 491.76/x
  3. Step 3: Cross multiply
    1,357.80x = 2,036.70 × 491.76
  4. Step 4: Simplify right side
    1,357.80x = 1,001,567.59
  5. Step 5: Solve for x
    x = 1,001,567.59/1,357.80
  6. Step 6: Final answer
    x = 737.64

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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.