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Finding the Fourth Proportional to 977.13, 1,347.93 and 645.12

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Solution

The fourth proportional to 977.13, 1,347.93 and 645.12 is: 889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.13 : 1,347.93 = 645.12 : x
  2. Step 2: Convert to fraction form
    977.13/1,347.93 = 645.12/x
  3. Step 3: Cross multiply
    977.13x = 1,347.93 × 645.12
  4. Step 4: Simplify right side
    977.13x = 869,576.60
  5. Step 5: Solve for x
    x = 869,576.60/977.13
  6. Step 6: Final answer
    x = 889.93

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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.