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Finding the Fourth Proportional to 590.65, 881.14 and 543.02

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Solution

The fourth proportional to 590.65, 881.14 and 543.02 is: 810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.65 : 881.14 = 543.02 : x
  2. Step 2: Convert to fraction form
    590.65/881.14 = 543.02/x
  3. Step 3: Cross multiply
    590.65x = 881.14 × 543.02
  4. Step 4: Simplify right side
    590.65x = 478,476.64
  5. Step 5: Solve for x
    x = 478,476.64/590.65
  6. Step 6: Final answer
    x = 810.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.