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Finding the Fourth Proportional to 510.57, 703.34 and 405.62

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Solution

The fourth proportional to 510.57, 703.34 and 405.62 is: 558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.57 : 703.34 = 405.62 : x
  2. Step 2: Convert to fraction form
    510.57/703.34 = 405.62/x
  3. Step 3: Cross multiply
    510.57x = 703.34 × 405.62
  4. Step 4: Simplify right side
    510.57x = 285,288.77
  5. Step 5: Solve for x
    x = 285,288.77/510.57
  6. Step 6: Final answer
    x = 558.77

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1.5x scale

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.