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Finding the Fourth Proportional to 581.42, 801.50 and 384.59

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Solution

The fourth proportional to 581.42, 801.50 and 384.59 is: 530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.42 : 801.50 = 384.59 : x
  2. Step 2: Convert to fraction form
    581.42/801.50 = 384.59/x
  3. Step 3: Cross multiply
    581.42x = 801.50 × 384.59
  4. Step 4: Simplify right side
    581.42x = 308,242.95
  5. Step 5: Solve for x
    x = 308,242.95/581.42
  6. Step 6: Final answer
    x = 530.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.