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Finding the Fourth Proportional to 562.16, 841.80 and 345.08

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Solution

The fourth proportional to 562.16, 841.80 and 345.08 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.16 : 841.80 = 345.08 : x
  2. Step 2: Convert to fraction form
    562.16/841.80 = 345.08/x
  3. Step 3: Cross multiply
    562.16x = 841.80 × 345.08
  4. Step 4: Simplify right side
    562.16x = 290,488.34
  5. Step 5: Solve for x
    x = 290,488.34/562.16
  6. Step 6: Final answer
    x = 516.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.