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Finding the Fourth Proportional to 530.47, 730.47 and 419.60

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Solution

The fourth proportional to 530.47, 730.47 and 419.60 is: 577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.47 : 730.47 = 419.60 : x
  2. Step 2: Convert to fraction form
    530.47/730.47 = 419.60/x
  3. Step 3: Cross multiply
    530.47x = 730.47 × 419.60
  4. Step 4: Simplify right side
    530.47x = 306,505.21
  5. Step 5: Solve for x
    x = 306,505.21/530.47
  6. Step 6: Final answer
    x = 577.80

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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.