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Finding the Fourth Proportional to 657.05, 986.58 and 534.20

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Solution

The fourth proportional to 657.05, 986.58 and 534.20 is: 802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.05 : 986.58 = 534.20 : x
  2. Step 2: Convert to fraction form
    657.05/986.58 = 534.20/x
  3. Step 3: Cross multiply
    657.05x = 986.58 × 534.20
  4. Step 4: Simplify right side
    657.05x = 527,026.10
  5. Step 5: Solve for x
    x = 527,026.10/657.05
  6. Step 6: Final answer
    x = 802.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.