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Finding the Fourth Proportional to 525.37, 724.58 and 466.40

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Solution

The fourth proportional to 525.37, 724.58 and 466.40 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.37 : 724.58 = 466.40 : x
  2. Step 2: Convert to fraction form
    525.37/724.58 = 466.40/x
  3. Step 3: Cross multiply
    525.37x = 724.58 × 466.40
  4. Step 4: Simplify right side
    525.37x = 337,944.11
  5. Step 5: Solve for x
    x = 337,944.11/525.37
  6. Step 6: Final answer
    x = 643.25

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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.