Home / 1,020.14-1,530.55-434.89

Finding the Fourth Proportional to 1,020.14, 1,530.55 and 434.89

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Solution

The fourth proportional to 1,020.14, 1,530.55 and 434.89 is: 652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.14 : 1,530.55 = 434.89 : x
  2. Step 2: Convert to fraction form
    1,020.14/1,530.55 = 434.89/x
  3. Step 3: Cross multiply
    1,020.14x = 1,530.55 × 434.89
  4. Step 4: Simplify right side
    1,020.14x = 665,612.29
  5. Step 5: Solve for x
    x = 665,612.29/1,020.14
  6. Step 6: Final answer
    x = 652.47

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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.