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Finding the Fourth Proportional to 1,688.83, 2,533.65 and 534.58

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Solution

The fourth proportional to 1,688.83, 2,533.65 and 534.58 is: 802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.83 : 2,533.65 = 534.58 : x
  2. Step 2: Convert to fraction form
    1,688.83/2,533.65 = 534.58/x
  3. Step 3: Cross multiply
    1,688.83x = 2,533.65 × 534.58
  4. Step 4: Simplify right side
    1,688.83x = 1,354,438.62
  5. Step 5: Solve for x
    x = 1,354,438.62/1,688.83
  6. Step 6: Final answer
    x = 802.00

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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.