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Finding the Fourth Proportional to 947.18, 1,420.59 and 322.51

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Solution

The fourth proportional to 947.18, 1,420.59 and 322.51 is: 483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.18 : 1,420.59 = 322.51 : x
  2. Step 2: Convert to fraction form
    947.18/1,420.59 = 322.51/x
  3. Step 3: Cross multiply
    947.18x = 1,420.59 × 322.51
  4. Step 4: Simplify right side
    947.18x = 458,154.48
  5. Step 5: Solve for x
    x = 458,154.48/947.18
  6. Step 6: Final answer
    x = 483.70

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1.5x scale

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.