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Finding the Fourth Proportional to 602.66, 907.19 and 430.52

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Solution

The fourth proportional to 602.66, 907.19 and 430.52 is: 648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.66 : 907.19 = 430.52 : x
  2. Step 2: Convert to fraction form
    602.66/907.19 = 430.52/x
  3. Step 3: Cross multiply
    602.66x = 907.19 × 430.52
  4. Step 4: Simplify right side
    602.66x = 390,566.78
  5. Step 5: Solve for x
    x = 390,566.78/602.66
  6. Step 6: Final answer
    x = 648.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.