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Finding the Fourth Proportional to 530.09, 730.89 and 456.28

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Solution

The fourth proportional to 530.09, 730.89 and 456.28 is: 629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.09 : 730.89 = 456.28 : x
  2. Step 2: Convert to fraction form
    530.09/730.89 = 456.28/x
  3. Step 3: Cross multiply
    530.09x = 730.89 × 456.28
  4. Step 4: Simplify right side
    530.09x = 333,490.49
  5. Step 5: Solve for x
    x = 333,490.49/530.09
  6. Step 6: Final answer
    x = 629.12

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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.