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Finding the Fourth Proportional to 510.10, 703.08 and 405.01

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Solution

The fourth proportional to 510.10, 703.08 and 405.01 is: 558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.10 : 703.08 = 405.01 : x
  2. Step 2: Convert to fraction form
    510.10/703.08 = 405.01/x
  3. Step 3: Cross multiply
    510.10x = 703.08 × 405.01
  4. Step 4: Simplify right side
    510.10x = 284,754.43
  5. Step 5: Solve for x
    x = 284,754.43/510.10
  6. Step 6: Final answer
    x = 558.23

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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.