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Finding the Fourth Proportional to 977.51, 1,347.40 and 627.59

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Solution

The fourth proportional to 977.51, 1,347.40 and 627.59 is: 865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.51 : 1,347.40 = 627.59 : x
  2. Step 2: Convert to fraction form
    977.51/1,347.40 = 627.59/x
  3. Step 3: Cross multiply
    977.51x = 1,347.40 × 627.59
  4. Step 4: Simplify right side
    977.51x = 845,614.77
  5. Step 5: Solve for x
    x = 845,614.77/977.51
  6. Step 6: Final answer
    x = 865.07

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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.