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Finding the Fourth Proportional to 565.07, 848.57 and 542.99

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Solution

The fourth proportional to 565.07, 848.57 and 542.99 is: 815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.07 : 848.57 = 542.99 : x
  2. Step 2: Convert to fraction form
    565.07/848.57 = 542.99/x
  3. Step 3: Cross multiply
    565.07x = 848.57 × 542.99
  4. Step 4: Simplify right side
    565.07x = 460,758.07
  5. Step 5: Solve for x
    x = 460,758.07/565.07
  6. Step 6: Final answer
    x = 815.41

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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.