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Finding the Fourth Proportional to 635.76, 947.16 and 598.50

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Solution

The fourth proportional to 635.76, 947.16 and 598.50 is: 891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.76 : 947.16 = 598.50 : x
  2. Step 2: Convert to fraction form
    635.76/947.16 = 598.50/x
  3. Step 3: Cross multiply
    635.76x = 947.16 × 598.50
  4. Step 4: Simplify right side
    635.76x = 566,875.26
  5. Step 5: Solve for x
    x = 566,875.26/635.76
  6. Step 6: Final answer
    x = 891.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.