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Finding the Fourth Proportional to 528.95, 725.57 and 524.36

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Solution

The fourth proportional to 528.95, 725.57 and 524.36 is: 719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.95 : 725.57 = 524.36 : x
  2. Step 2: Convert to fraction form
    528.95/725.57 = 524.36/x
  3. Step 3: Cross multiply
    528.95x = 725.57 × 524.36
  4. Step 4: Simplify right side
    528.95x = 380,461.04
  5. Step 5: Solve for x
    x = 380,461.04/528.95
  6. Step 6: Final answer
    x = 719.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.