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Finding the Fourth Proportional to 602.59, 899.52 and 557.50

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Solution

The fourth proportional to 602.59, 899.52 and 557.50 is: 832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.59 : 899.52 = 557.50 : x
  2. Step 2: Convert to fraction form
    602.59/899.52 = 557.50/x
  3. Step 3: Cross multiply
    602.59x = 899.52 × 557.50
  4. Step 4: Simplify right side
    602.59x = 501,482.40
  5. Step 5: Solve for x
    x = 501,482.40/602.59
  6. Step 6: Final answer
    x = 832.21

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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.