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Finding the Fourth Proportional to 535.40, 802.72 and 457.64

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Solution

The fourth proportional to 535.40, 802.72 and 457.64 is: 686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.40 : 802.72 = 457.64 : x
  2. Step 2: Convert to fraction form
    535.40/802.72 = 457.64/x
  3. Step 3: Cross multiply
    535.40x = 802.72 × 457.64
  4. Step 4: Simplify right side
    535.40x = 367,356.78
  5. Step 5: Solve for x
    x = 367,356.78/535.40
  6. Step 6: Final answer
    x = 686.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.