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Finding the Fourth Proportional to 1,984.67, 2,976.47 and 597.70

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Solution

The fourth proportional to 1,984.67, 2,976.47 and 597.70 is: 896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.67 : 2,976.47 = 597.70 : x
  2. Step 2: Convert to fraction form
    1,984.67/2,976.47 = 597.70/x
  3. Step 3: Cross multiply
    1,984.67x = 2,976.47 × 597.70
  4. Step 4: Simplify right side
    1,984.67x = 1,779,030.17
  5. Step 5: Solve for x
    x = 1,779,030.17/1,984.67
  6. Step 6: Final answer
    x = 896.38

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1.5x scale

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.