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Finding the Fourth Proportional to 590.17, 812.67 and 507.16

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Solution

The fourth proportional to 590.17, 812.67 and 507.16 is: 698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.17 : 812.67 = 507.16 : x
  2. Step 2: Convert to fraction form
    590.17/812.67 = 507.16/x
  3. Step 3: Cross multiply
    590.17x = 812.67 × 507.16
  4. Step 4: Simplify right side
    590.17x = 412,153.72
  5. Step 5: Solve for x
    x = 412,153.72/590.17
  6. Step 6: Final answer
    x = 698.36

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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.