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Finding the Fourth Proportional to 525.92, 784.60 and 500.40

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Solution

The fourth proportional to 525.92, 784.60 and 500.40 is: 746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.92 : 784.60 = 500.40 : x
  2. Step 2: Convert to fraction form
    525.92/784.60 = 500.40/x
  3. Step 3: Cross multiply
    525.92x = 784.60 × 500.40
  4. Step 4: Simplify right side
    525.92x = 392,612.59
  5. Step 5: Solve for x
    x = 392,612.59/525.92
  6. Step 6: Final answer
    x = 746.53

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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.