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Finding the Fourth Proportional to 557.76, 837.84 and 524.88

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Solution

The fourth proportional to 557.76, 837.84 and 524.88 is: 788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.76 : 837.84 = 524.88 : x
  2. Step 2: Convert to fraction form
    557.76/837.84 = 524.88/x
  3. Step 3: Cross multiply
    557.76x = 837.84 × 524.88
  4. Step 4: Simplify right side
    557.76x = 439,765.46
  5. Step 5: Solve for x
    x = 439,765.46/557.76
  6. Step 6: Final answer
    x = 788.45

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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.