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Finding the Fourth Proportional to 647.97, 975.48 and 581.00

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Solution

The fourth proportional to 647.97, 975.48 and 581.00 is: 874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.97 : 975.48 = 581.00 : x
  2. Step 2: Convert to fraction form
    647.97/975.48 = 581.00/x
  3. Step 3: Cross multiply
    647.97x = 975.48 × 581.00
  4. Step 4: Simplify right side
    647.97x = 566,746.82
  5. Step 5: Solve for x
    x = 566,746.82/647.97
  6. Step 6: Final answer
    x = 874.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.