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Finding the Fourth Proportional to 974.51, 1,345.03 and 642.98

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Solution

The fourth proportional to 974.51, 1,345.03 and 642.98 is: 887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.51 : 1,345.03 = 642.98 : x
  2. Step 2: Convert to fraction form
    974.51/1,345.03 = 642.98/x
  3. Step 3: Cross multiply
    974.51x = 1,345.03 × 642.98
  4. Step 4: Simplify right side
    974.51x = 864,827.39
  5. Step 5: Solve for x
    x = 864,827.39/974.51
  6. Step 6: Final answer
    x = 887.45

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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.