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Finding the Fourth Proportional to 587.55, 875.51 and 522.96

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Solution

The fourth proportional to 587.55, 875.51 and 522.96 is: 779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.55 : 875.51 = 522.96 : x
  2. Step 2: Convert to fraction form
    587.55/875.51 = 522.96/x
  3. Step 3: Cross multiply
    587.55x = 875.51 × 522.96
  4. Step 4: Simplify right side
    587.55x = 457,852.77
  5. Step 5: Solve for x
    x = 457,852.77/587.55
  6. Step 6: Final answer
    x = 779.25

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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.