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Finding the Fourth Proportional to 1,590.04, 2,384.78 and 435.48

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Solution

The fourth proportional to 1,590.04, 2,384.78 and 435.48 is: 653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.04 : 2,384.78 = 435.48 : x
  2. Step 2: Convert to fraction form
    1,590.04/2,384.78 = 435.48/x
  3. Step 3: Cross multiply
    1,590.04x = 2,384.78 × 435.48
  4. Step 4: Simplify right side
    1,590.04x = 1,038,523.99
  5. Step 5: Solve for x
    x = 1,038,523.99/1,590.04
  6. Step 6: Final answer
    x = 653.14

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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.