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Finding the Fourth Proportional to 973.30, 1,459.50 and 315.07

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Solution

The fourth proportional to 973.30, 1,459.50 and 315.07 is: 472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.30 : 1,459.50 = 315.07 : x
  2. Step 2: Convert to fraction form
    973.30/1,459.50 = 315.07/x
  3. Step 3: Cross multiply
    973.30x = 1,459.50 × 315.07
  4. Step 4: Simplify right side
    973.30x = 459,844.67
  5. Step 5: Solve for x
    x = 459,844.67/973.30
  6. Step 6: Final answer
    x = 472.46

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Double scale
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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.