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Finding the Fourth Proportional to 1,020.16, 1,530.48 and 317.34

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Solution

The fourth proportional to 1,020.16, 1,530.48 and 317.34 is: 476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.16 : 1,530.48 = 317.34 : x
  2. Step 2: Convert to fraction form
    1,020.16/1,530.48 = 317.34/x
  3. Step 3: Cross multiply
    1,020.16x = 1,530.48 × 317.34
  4. Step 4: Simplify right side
    1,020.16x = 485,674.87
  5. Step 5: Solve for x
    x = 485,674.87/1,020.16
  6. Step 6: Final answer
    x = 476.08

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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.