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Finding the Fourth Proportional to 530.32, 792.13 and 448.31

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Solution

The fourth proportional to 530.32, 792.13 and 448.31 is: 669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.32 : 792.13 = 448.31 : x
  2. Step 2: Convert to fraction form
    530.32/792.13 = 448.31/x
  3. Step 3: Cross multiply
    530.32x = 792.13 × 448.31
  4. Step 4: Simplify right side
    530.32x = 355,113.60
  5. Step 5: Solve for x
    x = 355,113.60/530.32
  6. Step 6: Final answer
    x = 669.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.