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Finding the Fourth Proportional to 1,019.70, 1,530.35 and 471.95

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Solution

The fourth proportional to 1,019.70, 1,530.35 and 471.95 is: 708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.70 : 1,530.35 = 471.95 : x
  2. Step 2: Convert to fraction form
    1,019.70/1,530.35 = 471.95/x
  3. Step 3: Cross multiply
    1,019.70x = 1,530.35 × 471.95
  4. Step 4: Simplify right side
    1,019.70x = 722,248.68
  5. Step 5: Solve for x
    x = 722,248.68/1,019.70
  6. Step 6: Final answer
    x = 708.30

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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.