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Finding the Fourth Proportional to 1,513.55, 2,270.53 and 473.63

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Solution

The fourth proportional to 1,513.55, 2,270.53 and 473.63 is: 710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.55 : 2,270.53 = 473.63 : x
  2. Step 2: Convert to fraction form
    1,513.55/2,270.53 = 473.63/x
  3. Step 3: Cross multiply
    1,513.55x = 2,270.53 × 473.63
  4. Step 4: Simplify right side
    1,513.55x = 1,075,391.12
  5. Step 5: Solve for x
    x = 1,075,391.12/1,513.55
  6. Step 6: Final answer
    x = 710.51

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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.