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Finding the Fourth Proportional to 581.42, 803.63 and 510.95

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Solution

The fourth proportional to 581.42, 803.63 and 510.95 is: 706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.42 : 803.63 = 510.95 : x
  2. Step 2: Convert to fraction form
    581.42/803.63 = 510.95/x
  3. Step 3: Cross multiply
    581.42x = 803.63 × 510.95
  4. Step 4: Simplify right side
    581.42x = 410,608.18
  5. Step 5: Solve for x
    x = 410,608.18/581.42
  6. Step 6: Final answer
    x = 706.22

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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.