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Finding the Fourth Proportional to 530.08, 795.24 and 442.96

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Solution

The fourth proportional to 530.08, 795.24 and 442.96 is: 664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.08 : 795.24 = 442.96 : x
  2. Step 2: Convert to fraction form
    530.08/795.24 = 442.96/x
  3. Step 3: Cross multiply
    530.08x = 795.24 × 442.96
  4. Step 4: Simplify right side
    530.08x = 352,259.51
  5. Step 5: Solve for x
    x = 352,259.51/530.08
  6. Step 6: Final answer
    x = 664.54

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1.5x scale

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.