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Finding the Fourth Proportional to 525.16, 719.47 and 505.46

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Solution

The fourth proportional to 525.16, 719.47 and 505.46 is: 692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.16 : 719.47 = 505.46 : x
  2. Step 2: Convert to fraction form
    525.16/719.47 = 505.46/x
  3. Step 3: Cross multiply
    525.16x = 719.47 × 505.46
  4. Step 4: Simplify right side
    525.16x = 363,659.71
  5. Step 5: Solve for x
    x = 363,659.71/525.16
  6. Step 6: Final answer
    x = 692.48

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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.