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Finding the Fourth Proportional to 589.76, 885.60 and 373.76

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Solution

The fourth proportional to 589.76, 885.60 and 373.76 is: 561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.76 : 885.60 = 373.76 : x
  2. Step 2: Convert to fraction form
    589.76/885.60 = 373.76/x
  3. Step 3: Cross multiply
    589.76x = 885.60 × 373.76
  4. Step 4: Simplify right side
    589.76x = 331,001.86
  5. Step 5: Solve for x
    x = 331,001.86/589.76
  6. Step 6: Final answer
    x = 561.25

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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.