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Finding the Fourth Proportional to 586.23, 881.21 and 577.77

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Solution

The fourth proportional to 586.23, 881.21 and 577.77 is: 868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.23 : 881.21 = 577.77 : x
  2. Step 2: Convert to fraction form
    586.23/881.21 = 577.77/x
  3. Step 3: Cross multiply
    586.23x = 881.21 × 577.77
  4. Step 4: Simplify right side
    586.23x = 509,133.81
  5. Step 5: Solve for x
    x = 509,133.81/586.23
  6. Step 6: Final answer
    x = 868.49

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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.