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Finding the Fourth Proportional to 904.96, 1,358.99 and 560.34

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Solution

The fourth proportional to 904.96, 1,358.99 and 560.34 is: 841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.96 : 1,358.99 = 560.34 : x
  2. Step 2: Convert to fraction form
    904.96/1,358.99 = 560.34/x
  3. Step 3: Cross multiply
    904.96x = 1,358.99 × 560.34
  4. Step 4: Simplify right side
    904.96x = 761,496.46
  5. Step 5: Solve for x
    x = 761,496.46/904.96
  6. Step 6: Final answer
    x = 841.47

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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.