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Finding the Fourth Proportional to 561.17, 841.55 and 431.98

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Solution

The fourth proportional to 561.17, 841.55 and 431.98 is: 647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.17 : 841.55 = 431.98 : x
  2. Step 2: Convert to fraction form
    561.17/841.55 = 431.98/x
  3. Step 3: Cross multiply
    561.17x = 841.55 × 431.98
  4. Step 4: Simplify right side
    561.17x = 363,528.51
  5. Step 5: Solve for x
    x = 363,528.51/561.17
  6. Step 6: Final answer
    x = 647.80

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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.