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Finding the Fourth Proportional to 557.99, 840.68 and 524.48

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Solution

The fourth proportional to 557.99, 840.68 and 524.48 is: 790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.99 : 840.68 = 524.48 : x
  2. Step 2: Convert to fraction form
    557.99/840.68 = 524.48/x
  3. Step 3: Cross multiply
    557.99x = 840.68 × 524.48
  4. Step 4: Simplify right side
    557.99x = 440,914.99
  5. Step 5: Solve for x
    x = 440,914.99/557.99
  6. Step 6: Final answer
    x = 790.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.