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Finding the Fourth Proportional to 670.19, 924.08 and 471.20

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Solution

The fourth proportional to 670.19, 924.08 and 471.20 is: 649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.19 : 924.08 = 471.20 : x
  2. Step 2: Convert to fraction form
    670.19/924.08 = 471.20/x
  3. Step 3: Cross multiply
    670.19x = 924.08 × 471.20
  4. Step 4: Simplify right side
    670.19x = 435,419.52
  5. Step 5: Solve for x
    x = 435,419.52/670.19
  6. Step 6: Final answer
    x = 649.70

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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.