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Finding the Fourth Proportional to 524.75, 723.72 and 465.77

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Solution

The fourth proportional to 524.75, 723.72 and 465.77 is: 642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.75 : 723.72 = 465.77 : x
  2. Step 2: Convert to fraction form
    524.75/723.72 = 465.77/x
  3. Step 3: Cross multiply
    524.75x = 723.72 × 465.77
  4. Step 4: Simplify right side
    524.75x = 337,088.87
  5. Step 5: Solve for x
    x = 337,088.87/524.75
  6. Step 6: Final answer
    x = 642.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.