Home / 1,585.03-2,377.53-430.78

Finding the Fourth Proportional to 1,585.03, 2,377.53 and 430.78

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Solution

The fourth proportional to 1,585.03, 2,377.53 and 430.78 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.03 : 2,377.53 = 430.78 : x
  2. Step 2: Convert to fraction form
    1,585.03/2,377.53 = 430.78/x
  3. Step 3: Cross multiply
    1,585.03x = 2,377.53 × 430.78
  4. Step 4: Simplify right side
    1,585.03x = 1,024,192.37
  5. Step 5: Solve for x
    x = 1,024,192.37/1,585.03
  6. Step 6: Final answer
    x = 646.17

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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.