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Finding the Fourth Proportional to 983.79, 1,357.63 and 541.70

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Solution

The fourth proportional to 983.79, 1,357.63 and 541.70 is: 747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.79 : 1,357.63 = 541.70 : x
  2. Step 2: Convert to fraction form
    983.79/1,357.63 = 541.70/x
  3. Step 3: Cross multiply
    983.79x = 1,357.63 × 541.70
  4. Step 4: Simplify right side
    983.79x = 735,421.38
  5. Step 5: Solve for x
    x = 735,421.38/983.79
  6. Step 6: Final answer
    x = 747.54

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Double scale
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1.5x scale

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.