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Finding the Fourth Proportional to 587.21, 875.84 and 509.56

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Solution

The fourth proportional to 587.21, 875.84 and 509.56 is: 760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.21 : 875.84 = 509.56 : x
  2. Step 2: Convert to fraction form
    587.21/875.84 = 509.56/x
  3. Step 3: Cross multiply
    587.21x = 875.84 × 509.56
  4. Step 4: Simplify right side
    587.21x = 446,292.59
  5. Step 5: Solve for x
    x = 446,292.59/587.21
  6. Step 6: Final answer
    x = 760.02

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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.