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Finding the Fourth Proportional to 977.00, 1,348.20 and 534.81

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Solution

The fourth proportional to 977.00, 1,348.20 and 534.81 is: 738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.00 : 1,348.20 = 534.81 : x
  2. Step 2: Convert to fraction form
    977.00/1,348.20 = 534.81/x
  3. Step 3: Cross multiply
    977.00x = 1,348.20 × 534.81
  4. Step 4: Simplify right side
    977.00x = 721,035.51
  5. Step 5: Solve for x
    x = 721,035.51/977.00
  6. Step 6: Final answer
    x = 738.01

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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.