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Finding the Fourth Proportional to 577.02, 866.50 and 358.07

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Solution

The fourth proportional to 577.02, 866.50 and 358.07 is: 537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.02 : 866.50 = 358.07 : x
  2. Step 2: Convert to fraction form
    577.02/866.50 = 358.07/x
  3. Step 3: Cross multiply
    577.02x = 866.50 × 358.07
  4. Step 4: Simplify right side
    577.02x = 310,267.30
  5. Step 5: Solve for x
    x = 310,267.30/577.02
  6. Step 6: Final answer
    x = 537.70

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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.