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Finding the Fourth Proportional to 635.48, 875.16 and 546.32

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Solution

The fourth proportional to 635.48, 875.16 and 546.32 is: 752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.48 : 875.16 = 546.32 : x
  2. Step 2: Convert to fraction form
    635.48/875.16 = 546.32/x
  3. Step 3: Cross multiply
    635.48x = 875.16 × 546.32
  4. Step 4: Simplify right side
    635.48x = 478,113.04
  5. Step 5: Solve for x
    x = 478,113.04/635.48
  6. Step 6: Final answer
    x = 752.37

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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.