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Finding the Fourth Proportional to 525.02, 786.72 and 497.40

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Solution

The fourth proportional to 525.02, 786.72 and 497.40 is: 745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.02 : 786.72 = 497.40 : x
  2. Step 2: Convert to fraction form
    525.02/786.72 = 497.40/x
  3. Step 3: Cross multiply
    525.02x = 786.72 × 497.40
  4. Step 4: Simplify right side
    525.02x = 391,314.53
  5. Step 5: Solve for x
    x = 391,314.53/525.02
  6. Step 6: Final answer
    x = 745.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.