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Finding the Fourth Proportional to 1,530.49, 2,296.10 and 476.25

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Solution

The fourth proportional to 1,530.49, 2,296.10 and 476.25 is: 714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.49 : 2,296.10 = 476.25 : x
  2. Step 2: Convert to fraction form
    1,530.49/2,296.10 = 476.25/x
  3. Step 3: Cross multiply
    1,530.49x = 2,296.10 × 476.25
  4. Step 4: Simplify right side
    1,530.49x = 1,093,517.63
  5. Step 5: Solve for x
    x = 1,093,517.63/1,530.49
  6. Step 6: Final answer
    x = 714.49

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Double scale
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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.