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Finding the Fourth Proportional to 587.58, 812.38 and 561.76

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Solution

The fourth proportional to 587.58, 812.38 and 561.76 is: 776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.58 : 812.38 = 561.76 : x
  2. Step 2: Convert to fraction form
    587.58/812.38 = 561.76/x
  3. Step 3: Cross multiply
    587.58x = 812.38 × 561.76
  4. Step 4: Simplify right side
    587.58x = 456,362.49
  5. Step 5: Solve for x
    x = 456,362.49/587.58
  6. Step 6: Final answer
    x = 776.68

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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.