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Finding the Fourth Proportional to 569.60, 848.62 and 542

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Solution

The fourth proportional to 569.60, 848.62 and 542 is: 807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.60 : 848.62 = 542 : x
  2. Step 2: Convert to fraction form
    569.60/848.62 = 542/x
  3. Step 3: Cross multiply
    569.60x = 848.62 × 542
  4. Step 4: Simplify right side
    569.60x = 459,952.04
  5. Step 5: Solve for x
    x = 459,952.04/569.60
  6. Step 6: Final answer
    x = 807.50

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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.