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Finding the Fourth Proportional to 707.95, 976.48 and 583.41

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Solution

The fourth proportional to 707.95, 976.48 and 583.41 is: 804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.95 : 976.48 = 583.41 : x
  2. Step 2: Convert to fraction form
    707.95/976.48 = 583.41/x
  3. Step 3: Cross multiply
    707.95x = 976.48 × 583.41
  4. Step 4: Simplify right side
    707.95x = 569,688.20
  5. Step 5: Solve for x
    x = 569,688.20/707.95
  6. Step 6: Final answer
    x = 804.70

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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.