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Finding the Fourth Proportional to 875.82, 1,208.81 and 503.06

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Solution

The fourth proportional to 875.82, 1,208.81 and 503.06 is: 694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.82 : 1,208.81 = 503.06 : x
  2. Step 2: Convert to fraction form
    875.82/1,208.81 = 503.06/x
  3. Step 3: Cross multiply
    875.82x = 1,208.81 × 503.06
  4. Step 4: Simplify right side
    875.82x = 608,095.40
  5. Step 5: Solve for x
    x = 608,095.40/875.82
  6. Step 6: Final answer
    x = 694.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.