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Finding the Fourth Proportional to 528.66, 788.81 and 525.60

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Solution

The fourth proportional to 528.66, 788.81 and 525.60 is: 784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.66 : 788.81 = 525.60 : x
  2. Step 2: Convert to fraction form
    528.66/788.81 = 525.60/x
  3. Step 3: Cross multiply
    528.66x = 788.81 × 525.60
  4. Step 4: Simplify right side
    528.66x = 414,595.91
  5. Step 5: Solve for x
    x = 414,595.91/528.66
  6. Step 6: Final answer
    x = 784.24

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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.