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Finding the Fourth Proportional to 587.02, 808.93 and 420.77

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Solution

The fourth proportional to 587.02, 808.93 and 420.77 is: 579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.02 : 808.93 = 420.77 : x
  2. Step 2: Convert to fraction form
    587.02/808.93 = 420.77/x
  3. Step 3: Cross multiply
    587.02x = 808.93 × 420.77
  4. Step 4: Simplify right side
    587.02x = 340,373.48
  5. Step 5: Solve for x
    x = 340,373.48/587.02
  6. Step 6: Final answer
    x = 579.83

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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.