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Finding the Fourth Proportional to 510.74, 705.48 and 405.94

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Solution

The fourth proportional to 510.74, 705.48 and 405.94 is: 560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.74 : 705.48 = 405.94 : x
  2. Step 2: Convert to fraction form
    510.74/705.48 = 405.94/x
  3. Step 3: Cross multiply
    510.74x = 705.48 × 405.94
  4. Step 4: Simplify right side
    510.74x = 286,382.55
  5. Step 5: Solve for x
    x = 286,382.55/510.74
  6. Step 6: Final answer
    x = 560.72

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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.